Power Rule Practice Worksheet
A Grade 9 math worksheet focused on practicing the power rule for differentiation, including various examples and applications.
Includes
Standards
Topics
Power Rule Practice
Name:
Date:
Score:
Read each question carefully and apply the power rule to find the derivative of the given functions. Show all your work.
1. Find the derivative of f(x) = x⁵.
2. Differentiate g(x) = 3x².
3. What is the derivative of h(x) = -7x?
4. According to the power rule, if f(x) = xⁿ, then f'(x) = .
5. The derivative of a constant term is always .
6. To differentiate 5x⁴, you multiply the exponent by the coefficient to get x³.
7. Which of the following is the derivative of y = x⁷?
7x⁶
x⁶
7x⁸
x⁸/8
8. If f(x) = 10, then f'(x) is:
10x
1
0
10
9. Find the derivative of f(x) = x^(1/2).
10. Differentiate g(x) = 4x⁻³.
11. Find the derivative of h(x) = (2/3)x⁶.