   Chapter 9.7, Problem 9E 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

Find the derivatives of the functions in Problems 1-32. Simplify and express the answer using positive exponents only. f ( u ) = u 3 + 1 u 2

To determine

To calculate: The simplified form of the derivative of f(u)=u3+1u2.

Explanation

Given Information:

The function is f(u)=u3+1u2.

Formula used:

According to the power rule, if f(x)=xn, then,

f(x)=nxn1

According to the property of differentiation, if a function is of the form, g(x)=cf(x), then,

g(x)=cf(x)

According to the property of differentiation, if a function is of the form f(x)=u(x)+v(x), then,

f(x)=u(x)+v(x)

Calculation:

Consider the provided function,

f(u)=u3+1u2

Rewrite the function by splitting the fraction,

f(u)=u3u2+1u2=u32+u2=u+u

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