Apentix/AP Calculus AB/Unit 1: Limits and Continuity/Question
AP Calculus ABhardmcq1 pt

For the function h(x) = ln(x)/x², which of the following gives h'(x)?

Explanation

Core Concept

By the quotient rule, h'(x) = [(1/x)·x² - ln(x)·2x]/x⁴ = [x - 2x·ln(x)]/x⁴ = x(1 - 2ln(x))/x⁴ = (1 - 2ln(x))/x³.

Correct Answer

1-2ln-x3

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