Derive a closed-form expression for the -th derivative of

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

Problem

Derive a closed-form expression for the

n

-th derivative of

f(x)=\ln x

, where

n

is a positive integer.

Related theory

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

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