Problems
Primary tabs
- Determine the derivative of $\frac{1}{x}$.
- Determine the derivative of \[\frac{ax+b}{ex+f}.\]
- Use the product rule to determine the derivative of $f(x)=(x^2-3)(5x^3-7)(-10x^4+8)$.
- Determine the derivative of $f(x)=(x-1)(x^2-4)$.
- Find the derivative of $f(x)=(x^3-2)(5x+1)$.
- Determine the derivative of $f(x)=12x^2-\frac{2}{5}x-3$.
- Determine the derivative of $f(x)=4x^3-\frac{1}{5}x^2-3x+10$.
- Derivative of $x^n$.
- The Derivative of the Sum of a Finite Number of Differentiable Functions.
- What is the derivative of the polynomial $f(x)=a_nx^n+a_{n-1}x^{n-1}+\cdots+a_1x+a_0$?
- Chain Rule - Supporting Problem 1
- Chain Rule - Supporting Problem 2
- Chain Rule - Supporting Problem 3
- Prove the Chain Rule.
- Derivative of $x^n$ where $n$ is a negative integer.
- Prove the Quotient Rule
- Derivative of $x^n$ where $n$ is a positive integer.
- Prove the product rule.
- What is the derivative of $f(x)+g(x)$ where $f(x)$ and $g(x)$ are differentiable?
- What is the derivative of $C\,f(x)$ where $C$ is a constant and $f(x)$ is differentiable.
