   Chapter 11.1, Problem 30E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 17-40, find the derivative of the given function. [HINT: See Example 1 and 2.] r ( x ) = 4 3 x 2 − 1 x 3.2

To determine

To calculate: The derivative of function r(x)=43x2+1x3.2.

Explanation

Given Information:

The function is r(x)=43x2+1x3.2.

Formula used:

Sum rule of derivative is [f±g](x)=f(x)±g(x).

Constant multiple rule is ddx[cf(x)]=cf(x) where c is constant.

Derivative of function y=xn by the use of power rule is dydx=nxn1.

Calculation:

Consider the function, r(x)=43x2+1x3.2

Convert function to power form,

r(x)=4x23+x3.2

Apply sum rule of derivative,

r(x)=ddx(4x23)+ddx(x3

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