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 3.3, Problem 9E
To determine

Find the differentiate form of the given equation.

Expert Solution

Answer to Problem 9E

The differentiate form of the given equationis dydx=(2tanx)xsec2x(2tanx)2 .

Explanation of Solution

Given:

The given equationis y=x2tanx .

Calculation:

  (fg)'=gf'fg'g2

  dydx=(2tanx)ddx(x)xddx(2tanx)(2tanx)2

Use ddx(x)=1 and ddx(tanx)=sec2x

  dydx=(2tanx)x(0sec2x)(2tanx)2dydx=(2tanx)xsec2x(2tanx)2

Hence the differentiate form of the given equationis dydx=(2tanx)xsec2x(2tanx)2 .

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