Problem

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

01:14

Problem 28 Easy Difficulty

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

$ f(x) = \sqrt {2 + \ln x} $

Answer

$\frac{1}{2 x \sqrt{2+\ln x}}$, $D:\left(e^{-2}, \infty\right)$

More Answers

00:56

Frank L.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 6

Derivatives of Logarithmic Functions

Discussion

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Video Transcript

in this framework in reflection anywhere. Find Derek and your domain of dysfunction. Let's start from derivative. A from a face is, we have two operators personally discourage. Second, with his initial exploding star from outward, the derivative obscured. It would be one over to Fairview troopers. Natural local fix. We're gonna most like this with the territory. Your function, which is, or ex so refined endeavor to then to be won over two eggs, times square root of two plus sensual ago. Thanks. All right. Now we're gonna decide on the domain. Only have a skirt of two presidential runoff X, and we know that discovered two presidential aftereffects should be all the Tim or else we wouldn't be in. Um, that wouldn't be a real number. Function values. So it means that, too, was national level X should be greater than zero. So nature Lagerback's. That should be greater than 92. Thanks should then be greater than he's a grenadier two. So promise. We see that the reign of dysfunction, it's time you to donate into two

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

Catherine R.

Missouri State University

Caleb E.

Baylor University

Joseph L.

Boston College