d*y For the function y = 4x, find 4

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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For the function y = 4x, find
5.
4
d'y
4
Transcribed Image Text:For the function y = 4x, find 5. 4 d'y 4
Expert Solution
Step 1

Given functiony=4x5differentiate with respective xdydx=ddx(4x5)dydx=4ddx(x5)dydx=4*5x5-1    (ddxxn=nxn-1)dydx=4*5x4again differentiate with respective xd2ydx2=20ddx(x4)d2ydx2=20*4x4-1   d2ydx2=80(x3)again differentiate with respective xd3ydx3=80ddx(x3)d3ydx3=80*3(x3-1)d3ydx3=240(x2)again differentiate with respective xd4ydx4=240*ddxx2d4ydx4=240*2x2-1d4ydx4=480x

 

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