Problem

Find equations of the tangent lines to the curve …

02:15

Problem 35 Easy Difficulty

If $ f(x) = \sin x + \ln x, $ find $ f'(x). $ Check that your answer is reasonable by comparing the graphs of $ f $ and $ f'. $

Answer

$f^{\prime}(x)=\cos x+\frac{1}{x}$

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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Watch More Solved Questions in Chapter 3

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Video Transcript

in this programme were given a function of X s sign, expose nation fights and reverse us to point the width of destruction and put the function itself under there from saying ground and sea after function affidavit it makes sense or given other things, we find time effects as outsider fights. Plus one of ex you could use any old one function porter to put those this Booker is a veritable dysfunction and this right, what? Its function itself. Does it make sense? Well, actually, yes. As we can see, especially at this point right here the directive goes for positive to negative. It means that the function that report should first increase and then degrees is that what separates function yes, actually increases at first and then starts decreasing. Also, we have another point. Here's a very few goes from negative positive and at this point is you can see function first decreases and then increase. So there were to be found is correct

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

Anna Marie V.

Campbell University

Kristen K.

University of Michigan - Ann Arbor

Joseph L.

Boston College