Power Rule Practice Worksheet
A Grade 10 Math worksheet focused on practicing the power rule for differentiation in calculus.
Includes
2 Short AnswerFill in the BlanksMultiple Choice
Standards
CCSS.MATH.CONTENT.HSF.IF.C.7
Topics
calculuspower ruledifferentiationgrade 10math
6 sections · Free to use · Printable
Power Rule Practice
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Read each question carefully and apply the power rule to find the derivative of the given functions. Show all your work.
Find the derivative of each function using the power rule.
1. If f(x) = x^5, find f'(x).
2. If g(x) = x^8, find g'(x).
3. If h(x) = x^-3, find h'(x).
Complete the following by finding the derivative.
1. The derivative of 3x^4 is .
2. If y = 7x^2, then dy/dx = .
3. If f(t) = -2t^6, then f'(t) = .
Find the derivative of each function.
1. If f(x) = 4x^3 + 2x^2 - 5x + 1, find f'(x).
2. If y = 6x^(1/2) - 3x^(-2) + 10, find dy/dx.
1. What is the derivative of f(x) = x^7?
a
7x^7
b
x^6
c
7x^6
d
x^8/8