   Chapter 11.5, Problem 14E 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 1-66, find the derivative of the function. [HINT: See Quick Example 5-14.] h ( x ) = e 2 x 2 − x + 1 / x

To determine

To calculate: The derivative of the function h(x)=e2x2x+1x.

Explanation

Given information:

The provided function is h(x)=e2x2x+1x.

Formula used:

The derivative of e raised to a function ddx(eu)=eududx.

And the derivative of the function using power rule, y=xn is dydx=nxn1.

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

Calculation:

Consider the provided function h(x)=e2x2x+1x,

To calculate the derivative of the function h(x)=e2x2x+1x.

Apply the derivative of e raised to a function ddx(eu)=eududx.

Let, u=2x2x+1x

Then, the derivative of function is,

h(x)=ddxe2x2x+1x=e2x2x+1xddx(2x2x+1x)

Apply constant multiple rule,

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