Apentix/AP Calculus AB/Unit 1: Limits and Continuity/Question

AP Calculus ABeasymcq1 pt

If f(x) = √x, what is the value of lim(h→0) [f(4 + h) − f(4)] / h ?

Explanation

Core Concept

Correct. The given limit is the definition of f ′(4). Applying the power rule, f ′(x) = ½·x^(−½) = 1/(2√x), so f ′(4) = 1/(2·2) = 1/4.

Correct Answer

q1-optB

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