   Chapter 9.7, Problem 34E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 33 and 34, find the derivative of each function.(a) G 1 ( x ) = 2 ( x 3 − 5 ) 3 3 (b) G 2 ( x ) = 2 ( x 3 − 5 ) 3 3 (c) G 3 ( x ) = 2 3 ( x 3 + 5 ) 3 (d) G 4 ( x ) = 2 3 ( x 3 + 5 ) 3

(a)

To determine

To calculate: The derivative of function G1(x)=2(x35)33.

Explanation

Given Information:

The function G1(x) is G1(x)=2(x35)33.

Formula used:

The general power rule of derivative:

ddx[u(x)]n=n[u(x)]n1ddx[u(x)]

Calculation:

Consider the function G1(x)

G1(x)=2(x35)33

Differentiate the function with respect to x,

ddxF1(x)=ddx[2(x35)33]

Apply the general power rule of derivative,</

(b)

To determine

To calculate: The derivative of function G2(x)=(2x35)33.

(c)

To determine

To calculate: The derivative of function G3(x)=23(x35)3.

(d)

To determine

To calculate: The derivative of function G4(x)=2(3x35)3.

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