Calculus Forum

Post thread
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 Line Integral, Dot Product Confusion
  • · Replies 8 ·
Replies
8
Views
3K
High School Geodesic dome parametric formula
  • · Replies 1 ·
Replies
1
Views
2K
High School Is This a Valid Proof for the Number of Roots in a nth Degree Polynomial?
  • · Replies 21 ·
Replies
21
Views
3K
High School How do you create a + and π sign using multivariable (x,y,z)
  • · Replies 1 ·
Replies
1
Views
2K
High School A rookie question for integrals of polynomial functions
  • · Replies 3 ·
Replies
3
Views
2K
High School I want to define a function knowing only it's limits
  • · Replies 4 ·
Replies
4
Views
1K
High School What is the relationship between gradient and surfaces in tensor calculus?
  • · Replies 9 ·
Replies
9
Views
2K
High School Understanding Kinematics in Calculus for High School Students
  • · Replies 6 ·
Replies
6
Views
2K
High School GramSchmidt process for Taylor basis
  • · Replies 7 ·
Replies
7
Views
2K
High School Intution behind the gradient giving the steepest ascent in 2D
  • · Replies 3 ·
Replies
3
Views
2K
High School Is Understanding 'dx' Just a Heuristic in Calculus?
  • · Replies 15 ·
Replies
15
Views
2K
High School Limits on Composite Functions- Appears DNE but has a limit
  • · Replies 8 ·
Replies
8
Views
3K
High School Limit of x & c as x→a: Basic Results
  • · Replies 5 ·
Replies
5
Views
2K
High School Triple integral in spherical coordinates.
  • · Replies 6 ·
Replies
6
Views
2K
High School Does undefined always mean infinity?
  • · Replies 15 ·
Replies
15
Views
4K
High School Is it possible to manipulate partial derivatives in this manner?
  • · Replies 6 ·
Replies
6
Views
2K
High School Intermediate Value Theorem and Synthetic Division
  • · Replies 4 ·
Replies
4
Views
2K
High School Basic Question about absolutely continuous functions
  • · Replies 10 ·
Replies
10
Views
2K
High School Conversion of parametric form to polar for the rose curve
  • · Replies 3 ·
Replies
3
Views
3K
High School Area under a sine integral graph
  • · Replies 8 ·
Replies
8
Views
2K
High School Can you deduce ##\tan(\theta) = \frac {df} {dx}## from this graph?
  • · Replies 2 ·
Replies
2
Views
1K
High School Ambiguity w/ Newton's dot notation + vector-magnitudes
  • · Replies 1 ·
Replies
1
Views
1K
High School Adding Sine and Cosine Waves- How to get formula
  • · Replies 6 ·
Replies
6
Views
2K
High School Integration Basics: Uses & Benefits
  • · Replies 5 ·
Replies
5
Views
1K
High School How integration can find the summation of infinitely many rectangles?
  • · Replies 2 ·
Replies
2
Views
2K
High School When do we use which notation for Delta and Differentiation?
  • · Replies 12 ·
Replies
12
Views
4K
High School Something Fun I Stumbled Across
  • · Replies 3 ·
Replies
3
Views
1K
High School Methods of integration: direct and indirect substitution
  • · Replies 4 ·
Replies
4
Views
3K
High School How to find a length of a "radius" not centered in a circle?
  • · Replies 2 ·
Replies
2
Views
2K
High School I Feel Weird Using Integral Tables
  • · Replies 12 ·
Replies
12
Views
3K
High School What is the function rule for f(x,y) in terms of s and t?
  • · Replies 5 ·
Replies
5
Views
2K
High School How can I show the sum results in this?
  • · Replies 4 ·
Replies
4
Views
1K
High School Quotient Limit Law: Find the Value of the Limit
  • · Replies 2 ·
Replies
2
Views
2K
High School Question about a limit definition
  • · Replies 4 ·
Replies
4
Views
2K
High School Need some help with understanding linear approximations
  • · Replies 30 ·
2
Replies
30
Views
3K
High School Comparing Gradient: Highest & Lowest, Vector/Scalar?
  • · Replies 3 ·
Replies
3
Views
1K
High School Product rule OR Partial differentiation
  • · Replies 4 ·
Replies
4
Views
4K
High School What's the derivative of sin^3(x+1) ^2?
  • · Replies 4 ·
Replies
4
Views
2K
High School Do Parabolas and Other Non-Linear Graphs Have Slope?
  • · Replies 3 ·
Replies
3
Views
2K
High School Prove Limit Rule: Learn the Constant Concept
  • · Replies 4 ·
Replies
4
Views
2K
High School How to interpret the integral of the absolute value?
  • · Replies 10 ·
Replies
10
Views
2K
High School Is there a particular symbol in Math for inexisting limits?
  • · Replies 2 ·
Replies
2
Views
1K
High School Solve for x (natural log equation)
  • · Replies 1 ·
Replies
1
Views
1K
High School Ant on a rubber rope problem confusion
  • · Replies 2 ·
Replies
2
Views
2K
High School Why Does tan x Have This Domain?
  • · Replies 4 ·
Replies
4
Views
2K
High School Wolfram Alpha graph of ln(x) shows as ln(abs(x))
  • · Replies 12 ·
Replies
12
Views
4K
High School Is the integral of x^x from 0 to a transcendental?
  • · Replies 5 ·
Replies
5
Views
2K
High School Question about calculus my dad made me think about
  • · Replies 3 ·
Replies
3
Views
1K
High School A function such that f(x)=f'(x)? (not e^x)
  • · Replies 15 ·
Replies
15
Views
2K
High School Rule to integrate a function with respect to its derivative
  • · Replies 3 ·
Replies
3
Views
2K
High School Quick question about calculus (derivatives)
  • · Replies 2 ·
Replies
2
Views
2K
High School Dimensional representation of Roots
  • · Replies 3 ·
Replies
3
Views
1K
High School Representation of complex of square root of negative i with unitary power.
  • · Replies 7 ·
Replies
7
Views
2K
High School How Do Equations 2.2 and 2.3 Emerge from Equation 2.1?
  • · Replies 1 ·
Replies
1
Views
1K
High School How to integrate a polar graph with respect to radius
  • · Replies 17 ·
Replies
17
Views
3K
High School Correctness of Equations in Electromagnetism Textbook
  • · Replies 7 ·
Replies
7
Views
2K
High School Derivation of exact differential
  • · Replies 1 ·
Replies
1
Views
1K
High School Why is integration with dx in the denominator undefined?
  • · Replies 6 ·
Replies
6
Views
3K
High School Second derivative differential equations in terms of y?
  • · Replies 4 ·
Replies
4
Views
2K
High School Derivative with the double cross product
  • · Replies 1 ·
Replies
1
Views
2K
High School Why Is My Second Derivative Calculation for Taylor Expansion Incorrect?
  • · Replies 1 ·
Replies
1
Views
2K
High School Square root differential problem
  • · Replies 6 ·
Replies
6
Views
2K
High School Why Do Different Methods Yield Different Results for ∫0 T sin²(ωt) dt?
  • · Replies 2 ·
Replies
2
Views
20K
High School Proof that (x^n)/n has a limit of 0 at infinity
  • · Replies 3 ·
Replies
3
Views
2K
High School Calculus of variation. Minimum surface
  • · Replies 2 ·
Replies
2
Views
1K
High School Is 0.999... Equal to 0: A Discussion on Convergence and Infinite Series?
  • · Replies 44 ·
2
Replies
44
Views
5K
High School Find ##f(x)## such that f(f(x))=##log_ax##
  • · Replies 60 ·
3
Replies
60
Views
5K
High School Solving Integral Equation: $\frac{\sin\left(x\right)}{\cos^{3}\left(x\right)}$
  • · Replies 4 ·
Replies
4
Views
2K
High School Solving Indefinite Integrals: A Beginner's Guide
  • · Replies 1 ·
Replies
1
Views
1K
High School Not following an integral solution
  • · Replies 1 ·
Replies
1
Views
1K
High School Is dy/dx of x2+y2 = 50 the same as dy/dx of y = sqrt(50 - x2)?
  • · Replies 3 ·
Replies
3
Views
2K
High School Definite integrals with +ve and -ve values
  • · Replies 5 ·
Replies
5
Views
2K
High School Differentiating by two different variables -- when is it okay?
  • · Replies 2 ·
Replies
2
Views
1K
High School Don't follow one small step in proof
  • · Replies 2 ·
Replies
2
Views
1K
High School Why Does ln(y) = ln(bεax) Cause Issues in Derivation?
  • · Replies 3 ·
Replies
3
Views
2K
High School Domain of Derivatives: Is f'(x)<=f(x)?
  • · Replies 3 ·
Replies
3
Views
1K
High School Why Can't I Integrate g(x) Over [1, Infinity) When It Also Approaches Zero?
  • · Replies 6 ·
Replies
6
Views
2K
High School Derivation with logarithms and product
  • · Replies 5 ·
Replies
5
Views
2K
High School Some help understanding integrals and calculus in general
  • · Replies 42 ·
2
Replies
42
Views
5K
High School Logarithmic growth vs exponential growth
  • · Replies 4 ·
Replies
4
Views
4K
High School Integration of a quantity when calculating Work
  • · Replies 7 ·
Replies
7
Views
1K
High School Does integration commute with substitution t=0?
  • · Replies 5 ·
Replies
5
Views
2K
High School How to Change the Independent Variable from Time to Position in a Function?
  • · Replies 26 ·
Replies
26
Views
4K
High School Area under the curve of a Polar Graph
  • · Replies 15 ·
Replies
15
Views
3K
High School How can I accurately sketch a complex graph with functions like 2x-⅜+¾e^-2x?
  • · Replies 7 ·
Replies
7
Views
2K
High School Some doubts about these differentiation steps
  • · Replies 7 ·
Replies
7
Views
2K
High School Do all the peaks and valleys of f have f'=0
  • · Replies 5 ·
Replies
5
Views
2K
High School Tan^-1 to PI Form: Get Help Here
  • · Replies 2 ·
Replies
2
Views
1K
High School Graphs of solids of revolution
  • · Replies 7 ·
Replies
7
Views
2K
High School Integrating to find surface area/volume of hemisphere
  • · Replies 3 ·
Replies
3
Views
3K
High School Really an easy question about derivative of arctan
  • · Replies 3 ·
Replies
3
Views
1K
High School Why is Δv Replaced by du/dx in Series Expansion?
  • · Replies 3 ·
Replies
3
Views
2K
High School Fourier series of a step function
  • · Replies 5 ·
Replies
5
Views
3K
High School Can f(x) and f'(x) both approach a non-zero constant?
  • · Replies 12 ·
Replies
12
Views
2K
High School Implicit differentiation or just explicit?
  • · Replies 2 ·
Replies
2
Views
1K
High School Is the derivative of a function everywhere the same on a given curve?
  • · Replies 9 ·
Replies
9
Views
2K
High School Asymptotic Function: Definition & Integration
  • · Replies 2 ·
Replies
2
Views
1K
High School Taylor Polynomials and decreasing terms
  • · Replies 1 ·
Replies
1
Views
1K
High School Sum of increasing and decreasing functions
  • · Replies 4 ·
Replies
4
Views
5K
High School Applying L'Hospital's rule to Integration as the limit of a sum
  • · Replies 18 ·
Replies
18
Views
2K