Problem

Differentiate the function. $ f(x) = \ln (\sin…

03:13

Problem 3 Easy Difficulty

Differentiate the function.

$ f(x) = \sin (\ln x) $

Answer

$f^{\prime}(x)=\cos (\ln x) \cdot \frac{d}{d x} \ln x=\cos (\ln x) \cdot \frac{1}{x}=\frac{\cos (\ln x)}{x}$

More Answers

00:13

Frank L.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 6

Derivatives of Logarithmic Functions

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Video Transcript

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Doruk I.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 6

Derivatives of Logarithmic Functions

Top Calculus 1 / AB Educators

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Michael J.

Idaho State University