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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.
High School Why is Δv Replaced by du/dx in Series Expansion?
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Undergrad Finding the sum of heights under a curve
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Undergrad Why is tan(Θ) equal to dy/dx for small angles?
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Graduate Impossible Curl of a Vector Field
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Undergrad Finding Area of Graphs with x^2: A General Solution?
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MHB Solution to Infinite series for E^(n^2x)
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Undergrad What's the name of this series?
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MHB Solving Exercise - Proving f(1 + w) > f(1) + w*f(1)
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High School Fourier series of a step function
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Undergrad Critical points for difficult function
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Undergrad Integrating a curve of position vectors
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Graduate How to get this result for this integral?
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MHB Minimum of function under constraint
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MHB 10.8.3 Find the Taylor polynomial
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Graduate Deriving functions relating to condition numbers
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Undergrad Power series - Different problem
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MHB What is the total area of the infinite number of inscribed squares?
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Undergrad Absolute Power Series: Questions & Solutions
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High School Can f(x) and f'(x) both approach a non-zero constant?
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Undergrad Absolutely convergent/Conditionally convergent/Divergent
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Graduate Integral in terms of Gamma functions
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High School Implicit differentiation or just explicit?
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High School Is the derivative of a function everywhere the same on a given curve?
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High School Asymptotic Function: Definition & Integration
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MHB What are the steps for solving a problem using Lagrange Multipliers?
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MHB Finding Extrema with Lagrange Multipliers
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Undergrad Higher Level Derivative Notation
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Insights The Pantheon of Derivatives - Important Theorems (V)
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Undergrad Divergence/Convergence for Telescoping series
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MHB If y = tan inverse (cot x) + cot inverse (tan x)
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Undergrad Find Cauchy Principal Value of Improper Integral
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MHB Boat B Must Head 56.4° South of West
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MHB Are the critical points minima or maxima?
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Undergrad Telling whether an improper integral converges
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MHB Calculating the First and Second Derivative of a Twice Differentiable Function
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MHB Calculating the Slope of the IS-curve - Hint Included!
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Undergrad Solving a definite integral by differentiation under the integral
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MHB If y = sin inverse (x square + 2x) find dy/dx
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MHB -z.54 find the radius of convergence
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Undergrad Is the Pole at u=2 Integrable?
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MHB If y=sin5 + log base 10 x+ 2 sec x find dy/dx
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MHB No problem, happy to help! (Glad to hear it)
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Insights The Pantheon of Derivatives - Lie Derivatives And Others (IV)
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MHB Find Differential Coefficient of Root 2 Sin x + 4x^5 -3/x^4
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Undergrad How Can We Simplify Evaluating the Improper Integral of Logarithmic Functions?
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Undergrad Heavyside step function chain rule
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MHB What is the geometric description of a set of vectors in $\mathbb{R}^2$?
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Undergrad Arc Length Parameterization for Unit Circle: Cos(s) & Sin(s)
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Undergrad Evaluating improper integrals with singularities
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MHB How to find the value of f'(x) at c
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Insights The Pantheon of Derivatives - Sections, Pullbacks And Pushforwards (III)
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MHB Converging Series: Tests & Tips for Finding Solutions
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MHB Does the Series $\sum_{n=2}^{\infty} (-1)^n \frac{4}{5\ln{n}}$ Converge?
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Undergrad Does the Tail of a Convergent Series Also Converge to Zero?
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MHB Radian Measure: Show Cone Surface Area is $\pi rl$
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Insights A Continuous, Nowhere Differentiable Function: Part 2 - comments
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Insights The Pantheon of Derivatives – Manifolds And Vector Fields (II)
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MHB Does the Series Converge Absolutely, Conditionally, or Diverge?
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MHB Find Absolute Extrema Over Region R
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MHB Relative Extrema vs Absolute Extrema
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Graduate Differentiate Infinity: What Is It?
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Insights The Pantheon of Derivatives – The Direction (I)
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MHB 10.5.55 Does the following series converge or diverge?
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MHB Finding Extrema under Constraints
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High School Taylor Polynomials and decreasing terms
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Undergrad By Continuity definition 1/0 is infinity
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Graduate Coulomb integrals of spherical Bessel functions
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Undergrad Need a little push on this integral using trig substitution.
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Graduate How is this mathematically rigorous?
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Undergrad What is a Functional in Mathematics?
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MHB 10.02.10 Find the sum of the series
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MHB How to Find the Absolute Extrema of a Function Over a Defined Region?
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High School Sum of increasing and decreasing functions
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MHB Proving Convexity & Estimating Function $f(x)=(1+x)^n$ for $n\in \mathbb{N}$
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MHB Does the Series Sum of e^n/(1+e^(2n)) Converge?
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Undergrad Directional Derivative: Why Must Vector Be Unit Vector?
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Undergrad Area ellipse: parametric form, angles and coincidences
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Undergrad Limit of a two variable function
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Undergrad Understanding the Difference Between Partial and Full Derivatives
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Undergrad Can a Velocity Vector be Integrated to Parameterize y=x^2?
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MHB How can we calculate the limits?
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Insights Solve Integrals Involving Tangent and Secant with This One Trick - Comments
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Undergrad How do I evaluate the Taylor series for ##Si(x)## around a given value?
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High School Applying L'Hospital's rule to Integration as the limit of a sum
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Undergrad Limits of integration on Polar curves
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MHB Is the Tabular Method the Easiest Way to Solve Integrals?
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MHB Critical Points & Extrema of Multivariable Function
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MHB Critical Points & Extrema of f (x, y)
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MHB Finding Critical Points and Extrema for g(x, y) = sqrt{x^2 + y^2 + 1}
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MHB Integration By Parts: uv-Substitution - 9.2
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MHB Integrating $-3x\cos{4x}$: Step-by-Step
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Undergrad How come surface integrals are single integrals in my book?
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MHB Extrema of Functions of Two Variables
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MHB How to Find Lines Tangent to a Parabola Passing Through a Given Point?
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High School Instantaneous speed without using calculus
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Undergrad Change of variable and Jacobians
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High School New to Nonlinear Diff. Equations? Ask Here!
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MHB 9.4.5 Identify the equilibrium values
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Undergrad Second derivative of a curve defined by parametric equations
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MHB Solve the initial value problem
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