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 15E
To determine

Find the derivative of the given function.

Expert Solution

Answer to Problem 15E

The derivative of the given function is h'(t)=3t23tln3 .

Explanation of Solution

Given:

The given function is h(t)=t33t .

Calculation:

  h(t)=t33t

Applydifferencerule.

  (fg)=f'g'

  ddth(t)=ddt(t3)ddt(3t)

Use derivative rule.

  ddx(xn)=nxn1 and ddx(ax)=axlna

  h'(t)=3t23tln3

Hence the derivativeof the given function is h'(t)=3t23tln3 .

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