AP

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Evaluate

\displaystyle \left.\dfrac{d^{5}}{dx^{5}}\bigl(\ln x\bigr)\right|_{x=1}

. (a)

6

(b)

24

(c)

-24

(d)

120

Related theory

Higher-Order Derivatives
Advanced Differentiation
Differentiation Rules
Second order derivatives
Continuity and Differentiability

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