Problem

If $ f(x) = \ln (x + \ln x), $ find $ f'(1). $

00:56

Problem 30 Easy Difficulty

Differentiate $ f $ and find the domain of $ f. $

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

Answer

$f^{\prime}(x)=\frac{1}{x \ln x \ln \ln x} ; \operatorname{Dom}(f)=\{x | x>e\}$

More Answers

01:31

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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Watch More Solved Questions in Chapter 3

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Problem 56

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

Grace H.

Numerade Educator

Heather Z.

Oregon State University

Caleb E.

Baylor University

Michael J.

Idaho State University