Calculus Forum

Join experts in discussion of calculus topics. This may include topics on Elementary functions, Calculating limits, derivatives and integrals. Optimization problems and Homework help is available.

Threads

Maximum value of (x^4-x^2)/(x^6+2x^3-1) for x>1

  • juantheron
  • · Replies 3 ·
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3

Checking if f(x)=x^3 is Monotonic: No Derivatives Needed

  • Yankel
  • · Replies 2 ·
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2

Graduate How about Why does the Landau notation for division work when h approaches 0?

  • IniquiTrance
  • · Replies 1 ·
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1

High School What Is the Correct Evaluation of the Indefinite Integral of Zero?

  • PFuser1232
  • · Replies 43 ·
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43

Undergrad What is the Derivative of a Fraction with a Square Root in the Denominator?

  • Karol
  • · Replies 2 ·
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2

Graduate Finding Maxima, Minima, and Saddle Points with Lagrange Multipliers

  • ythamsten
  • · Replies 2 ·
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2

Graduate Orthogonality of Hermite functions

  • DavideGenoa
  • · Replies 8 ·
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8

Undergrad Multivariable function definition

  • Nikitin
  • · Replies 6 ·
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6

Undergrad Acceleration as a function of displacement

  • Woolyabyss
  • · Replies 2 ·
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2

Undergrad How to Isolate dx/dt from d(xy)/dt and dy/dt?

  • Timeforheroes0
  • · Replies 2 ·
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2

Calculus Question: Sketching a Function by Hand

  • Pull and Twist
  • · Replies 5 ·
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5

Graduate Average velocity or average values of functions and calculus

  • christian0710
  • · Replies 2 ·
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2

Undergrad Why can you write a= dv/dt as a*dt = dv? and what does it mean?

  • christian0710
  • · Replies 10 ·
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10

Undergrad Calculating Average Emission Wavelength from Spectral Intensity Chart

  • Xtensity
  • · Replies 9 ·
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9

Undergrad Negative Gradient and Gradient Descent Method

  • Maria88
  • · Replies 3 ·
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3

Solving the Spring Balance Problem: Work Done Stretching 5.0-12.2in

  • thehsheepdog
  • · Replies 1 ·
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1

Undergrad What is the meaning of a triple integral?

  • Nathew
  • · Replies 1 ·
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1
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3

Finding the angle that maximizes intensity in this equation

  • mathman2
  • · Replies 8 ·
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8

Graduate Closed Loop Contour: Finding Threshold W Values

  • JulieK
  • · Replies 1 ·
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1

Integrate by making substitution and by parts

  • find_the_fun
  • · Replies 4 ·
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4

Undergrad How could I make an exponential function which has a limit of around 1.53?

  • mpatryluk
  • · Replies 2 ·
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2

How to solve a homogeneous differential equation

  • hossam killua
  • · Replies 1 ·
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1

Undergrad How to Calculate Frequency and Impulse Response?

  • TheTopGun
  • · Replies 1 ·
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1

Proving the Floor of nx using Fractional Parts and Induction

  • Ragnarok7
  • · Replies 3 ·
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3

Why Should Constants Be Substituted in Integration?

  • harryt
  • · Replies 4 ·
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4

Graduate Understanding Green's Theorem in 2-Dimensional Vector Fields

  • member 428835
  • · Replies 3 ·
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3

Graduate Scalar field 2 dimensional discontinuous but differentiable

  • adoion
  • · Replies 2 ·
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2

Solving Limit Problem: $x \to 0^{-}$ e^$\frac{1}{x}$

  • tmt1
  • · Replies 5 ·
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5

Graduate Solve Indefinite Integral (x/c) arcsin dx/tan(x)

  • Gmen
  • · Replies 2 ·
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2

Graduate Mean and variance of loggamma distribution

  • Bipolarity
  • · Replies 1 ·
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1

Limit of (1-tan x)/(sin x-cos x) as x→π/4

  • tmt1
  • · Replies 3 ·
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3

How to Solve the Limit of a Trigonometric Function?

  • tmt1
  • · Replies 2 ·
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2

Derivative of trigonometric function

  • tmt1
  • · Replies 1 ·
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1

Undergrad Radius of convergence derivation

  • MathewsMD
  • · Replies 6 ·
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6
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2

Finding domain of a trigonometric function

  • tmt1
  • · Replies 3 ·
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3

Graduate Leibniz Rule for multivariable function

  • member 428835
  • · Replies 17 ·
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17

Graduate Polynomial approximation: Chebyshev and Legendre

  • ch3cooh
  • · Replies 3 ·
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3

Graduate Why Does the Constant 't' Appear in the Derivative of a Homogeneous Function?

  • Sidney
  • · Replies 3 ·
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3
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2

Reaction functions, differentiation question _ Game theory economics

  • matth123
  • · Replies 1 ·
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1
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5

Vector Index Notation Proof: Solved by Sam

  • SamJohannes
  • · Replies 5 ·
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5

Chain rule with a complicated function

  • hossam killua
  • · Replies 5 ·
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5

Graduate Numerica integration with unequal intervals

  • cris
  • · Replies 5 ·
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5

Evaluating infinite sum for e^(-x) using integrals

  • Amad27
  • · Replies 4 ·
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4

Graduate 2D Milne's rule composite integration

  • presto
  • · Replies 2 ·
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2

Finding new limits of integration problem

  • coolguy1
  • · Replies 1 ·
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1

Graduate Fubini's theorem "my simpler proof"

  • davidbenari
  • · Replies 7 ·
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7

Can a Numerical Series Converge to a Functional Series?

  • andijaupi
  • · Replies 1 ·
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1

Using Integral methods to find a summation of series (infinite)

  • Amad27
  • · Replies 3 ·
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3

Proof concerning the greatest integer function

  • Ragnarok7
  • · Replies 2 ·
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2

Undergrad How Should I Calculate dr² in Differentiation: Directly or by Finding dr First?

  • PhyAmateur
  • · Replies 6 ·
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6

Interchanging Summation and Integrals?

  • Amad27
  • · Replies 1 ·
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1

How Fast Does the Water Level Rise in a Conical Tank?

  • tmt1
  • · Replies 1 ·
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1

Pointwise convergence of holomorphic functions

  • Radiator1
  • · Replies 1 ·
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1

Implicit differentiation difficult

  • Fermat1
  • · Replies 1 ·
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1

Finding an Integral for a given Riemann Sum

  • Amad27
  • · Replies 8 ·
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8

Graduate Nonelementary Integral Related Question

  • megatyler30
  • · Replies 6 ·
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6

Undergrad How can we determine the length of a vector using the ordered pair definitions?

  • Fredrik
  • · Replies 12 ·
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12

Graduate Coordinate Transformation of the equation of continuity for a vaporizing droplet

  • kabaer
  • · Replies 6 ·
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6

Undergrad Partial Derivatives multivariable

  • PFuser1232
  • · Replies 8 ·
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8

Graduate Trying to find the infinite sum of e^-x using integration

  • Amad27
  • · Replies 1 ·
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1

Graduate How can I implement a Pseudo Arclength Continuation method for my system?

  • nylonsmile
  • · Replies 2 ·
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2

Undergrad [Compound Interest] Layman way vs. Derivative way

  • TadeusPrastowo
  • · Replies 3 ·
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3

How do we get to the inequality?

  • evinda
  • · Replies 1 ·
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1
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5

How Do You Find the Point Where a Tangent Equals a Secant Slope?

  • eleventhxhour
  • · Replies 1 ·
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1

Solving Limit as x approaches 3 using Multiplication and Division

  • tmt1
  • · Replies 2 ·
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2

Undergrad [Limit] Algebraic Manipulation of Rational Function

  • TadeusPrastowo
  • · Replies 5 ·
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5

Differentiating a trignometric function

  • tmt1
  • · Replies 1 ·
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1

Finding maximum/minimum values?

  • eleventhxhour
  • · Replies 1 ·
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1

Undergrad Integral Trig Substitution Question

  • TheRedDevil18
  • · Replies 7 ·
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7

Graduate Quarter period symmetry in Fourier series

  • physiks
  • · Replies 1 ·
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1
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1

Undergrad Finding the lower bound for an iterated integral

  • BondKing
  • · Replies 8 ·
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8

Graduate [resolved] Partial Derivative Relationships

  • hotvette
  • · Replies 2 ·
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2

Finding the nth term of the sequence -1, 5, -17, 65

  • scottshannon
  • · Replies 10 ·
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10

Undergrad What is the best formula for calculating arccos near x=1?

  • presto
  • · Replies 7 ·
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7

Graduate Understanding an expansion into a geometric series

  • ThereIam
  • · Replies 1 ·
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1

Undergrad How Does the Logarithmic Equation Simplify with Large Frequency Values?

  • Rectifier
  • · Replies 2 ·
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2

Graduate Summation Verification: Evaluating Series with -e^t Answer

  • MathewsMD
  • · Replies 6 ·
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6

Fourier Transform to find sidebands with 2 different frequencies

  • bugatti79
  • · Replies 17 ·
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17

Undergrad Vectors in different coordinate systems

  • Ahmad Kishki
  • · Replies 6 ·
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6

Integrals at infinity/ factorials problem

  • Samme013
  • · Replies 6 ·
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6

Undergrad Does a sequence converge to its most repeated value?

  • phoenix95
  • · Replies 8 ·
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8

Undergrad 'second' partial derivative of a function

  • BOAS
  • · Replies 3 ·
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3

Graduate Can You Solve These Tricky 2D Integrals on a Unit Circle?

  • presto
  • · Replies 10 ·
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10

Maclaurin series for (1+x³)/(1+x²)

  • fernlund
  • · Replies 2 ·
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2

Graduate What Happens if a Visitor Tells Dragons Not All of Them Have Green Eyes?

  • igorronaldo
  • · Replies 10 ·
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10

High School How to shift the function xe^x mathematically by one unit on the x axis?

  • bugatti79
  • · Replies 1 ·
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1

Find Horizontal/Vertical Tangents of Polar Curve r=cos(theta)+sin(theta)

  • Pull and Twist
  • · Replies 31 ·
2
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31

Solve Integral w/ Log: $$\int_{5}^{\infty}\frac{1}{t^r\log t}dt$$

  • Bibubo
  • · Replies 5 ·
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5

Graduate Why does (1/x)sin(1/x) converge but its absolute value diverges?

  • DavideGenoa
  • · Replies 5 ·
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5

Show that the series converges

  • evinda
  • · Replies 7 ·
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7

Graduate Taylor Polynomial of 3rd order in 0 to f(x) = sin(arctan (x))

  • Taiga
  • · Replies 1 ·
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1

Undergrad Very very short question on second derivative

  • CookieSalesman
  • · Replies 4 ·
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4

Evaluating \(\int_{-1}^{1}\frac{e^x}{x+1}\,dx\): Converges/Diverges?

  • wonguyen1995
  • · Replies 1 ·
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1

Solution to Sequence Challenge $a_n$

  • Albert1
  • · Replies 6 ·
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6