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.
Showing a random 20 of 50 problems.
Example 1
mediumUse the quotient rule to differentiate .
Example 2
easyDifferentiate using the power rule.
Example 3
mediumFind when .
Example 4
easyUse the product rule to differentiate .
Example 5
mediumDifferentiate using the product rule.
Example 6
mediumDifferentiate .
Example 7
mediumDifferentiate using the product rule.
Example 8
hardDifferentiate .
Example 9
easyDifferentiate .
Example 10
easyDifferentiate .
Example 11
mediumDifferentiate .
Example 12
challengeFind the second derivative of .
Example 13
easyDifferentiate .
Example 14
hardDifferentiate using the quotient rule.
Example 15
hardFind the slope of at .
Example 16
easyDifferentiate .
Example 17
easyDifferentiate .
Example 18
hardDifferentiate for .
Example 19
mediumDifferentiate (express using ).
Example 20
easyDifferentiate using the constant multiple rule.