   Chapter 4.5, Problem 9SWU ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# In Exercises 9 and 10, find the second derivative of the function. f ( x ) = x 2 ( x + 1 ) − 3 x 3

To determine

To calculate: The second order derivative of the function f(x)=x2(x+1)3x3.

Explanation

Given Information:

The provided function is f(x)=x2(x+1)3x3.

Formula used:

The derivative of a function f(x)=xn where n is any integer is,

f(x)=ddx(xn)=nxn1

Calculation:

Consider the provided function, f(x)=x2(x+1)3x3

Simplify the provided function,

f(x)=x2(x+1)3x3=x3+x23x3=2x3+x2

Differentiate the obtained function with respect to x,

f(x)=2

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