AP Calculus AB / Differentiation: Definition and Basic Derivative Rules / Question No. 4

4. \(\lim\limits_{{h \to 0}} \frac{(2 + h)^5 - 32}{h} \) is

\(f'(5)\), where \(f(x) = x^2\)

\(f'(2)\), where \(f(x) = x^5\)

\(f'(5)\), where \(f(x) = 2^x\)

\(f'(2)\), where \(f(x) = 2^x\)

Answer is: option2 - \(f'(2)\), where \(f(x) = x^5\)

Solution:

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Home Practice Questions AP Calculus AB Differentiation: Definition and Basic Derivative Rules Question No. 4