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46 29. dx6 720x-7

46 29. dx6 720x-7

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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46 29. dx6 720x-7
Transcribed Image Text:46 29. dx6 720x-7
Expert Solution
Step 1

We have to prove :

d6dx6x-1=720x-7

We will use following formula for differentiation:

dxndx=nxn-1

Here, we have to differentiate x-1 six times to prove the given condition.

So, differentiating x-1 with respect to 'x', we get

dx-1dx=-1x-1-1=-x-2

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