Calculus WorksheetsGrades 11–12
Derivatives of Polynomials (Power Rule) Worksheets
Differentiate quadratic, cubic, and quartic polynomials using the power rule and sum/difference rules.
Derivatives of Polynomials (Power Rule)
Seed #104729Name:
Date:
Find the derivative f'(x) of each polynomial.
1)
Find the derivative f'(x) for f(x) = 4x3 + x2 − 2x − 4: ______
2)
Find the derivative f'(x) for f(x) = 2x3 + 4x + 8: ______
3)
Find the derivative f'(x) for f(x) = 3x3 − 5x2 + 8x − 3: ______
4)
Find the derivative f'(x) for f(x) = 8x3 + 3x2 − 3x + 2: ______
5)
Find the derivative f'(x) for f(x) = 7x3 + 3x + 5: ______
6)
Find the derivative f'(x) for f(x) = x3 + 2x2 + 4x − 5: ______
7)
Find the derivative f'(x) for f(x) = 2x3 + 3x2 − 3: ______
8)
Find the derivative f'(x) for f(x) = 6x3 + 2x2 − 2x − 3: ______
9)
Find the derivative f'(x) for f(x) = 4x3 − 3x2 − 6x − 8: ______
10)
Find the derivative f'(x) for f(x) = x3 + 7x2 + 6x + 5: ______
11)
Find the derivative f'(x) for f(x) = 4x3 − 5x2 − 2x + 4: ______
12)
Find the derivative f'(x) for f(x) = x3 − 3x2 − 5x − 8: ______
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