BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 3.4, Problem 26E
To determine

Find the derivative of the given function.

Expert Solution

Answer to Problem 26E

The derivative of the given function is dydu=4(eu+eu)2 .

Explanation of Solution

Given:

The given function is y=eueueu+eu .

Calculation:

  y=eueueu+eu

Use quotient rule.

  (fg)'=gf'fg'g2

  dydu=(eu+eu)ddu(eueu)(eueu)ddu(eu+eu)(eu+eu)2

Use sum/difference rule.

  (f±g)'=f'±g'

  dydu=(eu+eu)[ddu(eu)ddu(eu)](eueu)[ddu(eu)+ddu(eu)](eu+eu)2

Use derivative rule.

  ddx(en)=en and ddx(en)=en

  dydu=(eu+eu)(eu+eu)(eueu)(eueu)(eu+eu)2dydu=(eu+eu)2(eueu)2(eu+eu)2dydu=(eu+eu+eueu)(eu+eueu+eu)(eu+eu)2dydu=(2eu)(2eu)(eu+eu)2dydu=4e0(eu+eu)2dydu=4(eu+eu)2

Hence the derivativeof the given function is dydu=4(eu+eu)2 .

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