   Chapter 11.1, Problem 27E 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.] h ( x ) = 1 x 2 + 2 x 3

To determine

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

Explanation

Given Information:

The provided function is h(x)=1x2+2x3.

Formula used:

Sum rule of derivative, [f+g](x)=f(x)+g(x)

Constant multiple rule, f(cx)=cf(x) where c is constant.

Derivative of a function f(x)=xn with the help of power rule is f(x)=nxn1.

Calculation:

Consider the function, h(x)=1x2+2x3

Convert function to power form as,

h(x)=x2+2x3

Apply sum rule of derivative,

h(x)=ddx(x2

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