Use logarithmic differentiation to determine y' for the equation y = V(10x – 3)(x – 4)(2x + 5). Write your answer in terms of x only.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Use logarithmic differentiation to determine y' for the equation y =
V(10x – 3)(x – 4)(2x + 5). Write your answer in terms of x only.
Answer
y' =
Transcribed Image Text:Use logarithmic differentiation to determine y' for the equation y = V(10x – 3)(x – 4)(2x + 5). Write your answer in terms of x only. Answer y' =
Expert Solution
Step 1

Given , y=10x-3x-42x+53 

           y=10x-3x-42x+513

Taking log on both sides for 'y'

logy=log10x-3x-42x+513

logy=13log10x-3x-42x+5

On differentiating the above equation,

 

ddxlogy=ddx13log10x-3x-42x+5 

 

 

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