   Chapter 9.7, Problem 33E ### 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) F 1 ( x ) = 3 ( x 4 + 1 ) 5 5 (b) F 2 ( x ) = 3 5 ( x 4 + 1 ) 5 (c) F 3 ( x ) = ( 3 x 4 + 1 ) 5 5 (d) F 4 ( x ) = 3 5 ( x 4 + 1 ) 5

(a)

To determine

To calculate: The derivative of function F1(x)=3(x4+1)55.

Explanation

Given Information:

The function F1(x) is F1(x)=3(x4+1)55.

Formula used:

The general power rule of derivative:

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

Calculation:

Consider the function F1(x)

F1(x)=3(x4+1)55

Differentiate the function with respect to x,

ddxF1(x)=ddx[3(x4+1)55]

Apply the general power rule of derivative

(b)

To determine

To calculate: The derivative of function F2(x)=35(x4+1)5.

(c)

To determine

To calculate: The derivative of function F3(x)=(3x4+1)55.

(d)

To determine

To calculate: The derivative of function F4(x)=3(5x4+1)5.

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