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If f(x)= log x , then f"(1) equals 1 (d) In 10 1 (a) 1 (b) 0 (c) -1 (e) In 10

If f(x)= log x , then f"(1) equals 1 (d) In 10 1 (a) 1 (b) 0 (c) -1 (e) In 10

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.4: Logarithmic Functions
Problem 6E
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If f(x)= log x , then f"(1) equals 1 (d) In 10 1 (а) 1 (b) 0 (c) -1 (e) In 10
Transcribed Image Text:If f(x)= log x , then f"(1) equals 1 (d) In 10 1 (а) 1 (b) 0 (c) -1 (e) In 10
Expert Solution
Step 1

We are given that f(x)=log x.

So,

           f''(x)=log10x''         =1xln10'         =-1ln10x2

Now, 

         f''(1)=-1ln10

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