lim f(x+h)-f(x)
h->0 -----------
h

The reverse chain rule for integration.

An equation that involves the derivative of a function, as well as the function itself.

The ratio test is commonly used to determine this property of a power series.

The shape formed by the polar equation r=2cos(theta)

d
-- f(g(x)) = f'(g(x))*g'(x)
dx

int(u)dv = uv - int(v)du

A method used to solve a differential equation by integrating both sides after separating variables.

This formula gives the sum of an infinite geometric series with the first term a and the common ratio r where

The cartesian equation, given the parametric equations x = t^2 and y = 2t + 1

Shows the concavity of function f(x). It's zeroes represent its inflection points.

Logs
Inverse
Algebraic
Trig
Exponential

In the terms of a differential equation it is the general term of dy/dx = 3x^2

This is the sum of the infinite geometric series 1 + 1/2 + 1/4 + 1/8 + ...

The rectangular form of r=2sin(theta).

When the function experiences a cusp, or a corner.

V = pi * int (R(x)^2)dx
a->b

This is the solution to the separable differential equation dy/dx = y * cos(x)

This is the radius of convergence for the power series
oo
__
> x^n/n
---
n=1

Given the parametric equations x = 3cos(t) and y = 4 sin(t), the equation in cartesian coordinates, and its shape.

The derivative of f(x)=x^x

f'(x) = 6sin(x)cos(x)

These are equilibrium solutions for the population model dP/dt = 0.5P(1-P/100)

This is the Taylor series expansion of e^x centered at x=0

The area enclosed by one loop of the polar curve r = 2sin(theta)