   Chapter 11.1, Problem 17E 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.] f ( x ) = x 3 − 3 x + 5

To determine

To calculate: The derivative of the function f(x)=x23x+5.

Explanation

Given Information:

The function is f(x)=x23x+5.

Formula used:

Sum and difference 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.

Derivative of a constant is 0.

Calculation:

Consider the function, f(x)=x23x+5

Apply difference and sum rule of derivative,

f(x)=ddx(x2

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