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.
Related Worksheets
Lagrange Error Bound Worksheet
This worksheet focuses on understanding and applying the Lagrange Error Bound to approximate functions using Taylor polynomials.
Derivative by Definition Worksheet
Practice problems for understanding and calculating derivatives using the limit definition.
Antidifferentiation Basics
This worksheet introduces fundamental concepts of antidifferentiation for Grade 9 students, focusing on finding antiderivatives of basic polynomial functions and understanding the constant of integration.
U-Substitution Practice Worksheet
Practice problems for U-substitution in calculus, covering basic definite and indefinite integrals.
Limits at Infinity Worksheet
Explore the behavior of functions as x approaches infinity with this Grade 9 math worksheet on limits at infinity.
Related Rates Worksheet
This worksheet focuses on related rates problems in Calculus, covering various geometric shapes and real-world scenarios.
Taylor Series Introduction
Explore the fundamentals of Taylor Series, including their definition, common expansions, and applications in approximating functions for Grade 9 Math.
Area Between Curves Worksheet
Calculate the area between two curves using integration.