   Chapter 9.6, Problem 33E Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Solutions

Chapter
Section Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

In Problems 33 and 34, find the derivative of each function.(a) y = 2 x 3 3 (b) y = 2 3 x 3 (c) y = ( 2 x ) 3 3 (d) y = 2 ( 3 x ) 3

(a)

To determine

To calculate: The derivative of the function y=2x33.

Explanation

Given Information:

The provided function is y=2x33.

Formula used:

The power rule of differentiation,

ddxxn=nxn1

Calculation:

Consider the provided function,

y=2x33

To find dydx differentiate both sides with respect to x,

dydx=d</

(b)

To determine

To calculate: The derivative of the function y=23x3.

(c)

To determine

To calculate: The derivative of the function y=(2x)33.

(d)

To determine

To calculate: The derivative of the function y=2(3x)3.

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