Power Rule Practice Worksheet
Grade 11 Calculus worksheet focusing on applying the power rule for differentiation to various polynomial and rational functions.
Includes
2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False
Standards
CCSS.MATH.CONTENT.HSF.IF.C.7.C
Topics
CalculusPower RuleDifferentiationGrade 11
7 sections · Free to use · Printable
Power Rule Practice
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Apply the power rule to differentiate each of the following functions. Show all your work.
1. Find the derivative of f(x) = 5x³ - 2x² + 7x - 1.
2. Differentiate g(t) = -4t⁵ + 3t⁴ - 8t² + 12.
3. Find the derivative of h(x) = 3x⁻² + 5x⁻¹ - 6x.
4. Differentiate y = 7/√x - 2/x².
5. The power rule states that if f(x) = xⁿ, then f'(x) = .
6. When differentiating a constant term, its derivative is always .
7. Which of the following is the derivative of f(x) = 6x⁴?
a
24x³
b
6x³
c
24x⁵
d
6x⁵
8. The derivative of f(x) = x is 1.
T
True
F
False