Find the derivative of the function f(x) = log23√(2x + 1)

Name: Find the derivative of the function f(x) = log23√(2x + 1)
Uploaded: 2024-03-20T06:47:22.000Z
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Description: Find the derivative of the function f(x) = log23√(2x + 1)

To find derivative of fx=log22x+13

Answered: Find the derivative of the function…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section4.3: Logarithmic Functions

Problem 6E: The natural logarithmic function f(x)= In (x1) has the ____________ asymptote x =____.

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Question

Find the derivative of the function f(x) = log₂³√(2x + 1)

Expert Solution

Step 1

To find derivative of

$f (x) = \log_{2} \sqrt[3]{2 x + 1}$

Step 2

Since,

$\log_{a} (b) = \frac{\ln (b)}{\ln (a)}$

Given function can be written as

$f (x) = \frac{\ln (\sqrt[3]{2 x + 1})}{\ln (2)}$

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