Power Rule Practice Worksheet
A Grade 12 Calculus worksheet focusing on applying the power rule for differentiation to various functions.
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Power Rule Practice Worksheet
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Carefully read each question and apply the power rule to find the derivative of the given functions. Show all your work for full credit.
Find the derivative of each function using the power rule.
1. f(x) = x⁵
2. g(x) = 3x⁷
3. h(x) = -2x³ + 4x - 1
Complete the derivatives using the power rule. Remember to rewrite terms with radicals or in the denominator as exponents first.
4. If y = √x, then dy/dx = .
5. If f(x) = 1/x², then f'(x) = .
6. The derivative of g(t) = t^(3/2) is .
7. Which of the following is the correct derivative of f(x) = 5x⁴ - 2x + 8?
20x³ - 2
20x³ - 2x
4x³ - 2
20x³ + 8
Determine if the following statements are true or false.
8. The derivative of a constant term using the power rule is always zero.
True
False
Find the derivative of the following functions. Simplify your answers.
9. y = (x² + 3)(x - 2) (Hint: Expand first, then differentiate)
10. f(x) = (x³ - 5x) / x (Hint: Simplify first, then differentiate)