Chain Rule
Description
Finds the derivative of composite functions.
Variables
| Symbol | Meaning |
|---|---|
f(x) | Outer function |
g(x) | Inner function |
f' | Derivative of outer function |
g'(x) | Derivative of inner function |
Example
Problem
Find d/dx[(2x+1)³]
Solution
3(2x+1)² · 2 = 6(2x+1)²
Real-World Applications
- Physics
- Engineering
- Optimization