Practice Differentiation Rules in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A set of standard formulas for finding derivatives of common function types without using the limit definition each time.
Shortcuts so you don't have to use the limit definition every time.
Example 1
easyUse the product rule to differentiate f(x) = x^3 \cdot \sin x.
Example 2
mediumUse the quotient rule to differentiate f(x) = \dfrac{x^2 + 1}{x - 3}.
Example 3
easyDifferentiate f(x) = x^2 \cos x using the product rule.
Example 4
hardDifferentiate f(x) = \dfrac{e^x}{x^2 + 1} using the quotient rule.