   Chapter 11.3, Problem 3E 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 1–12(a) Calculate the derivative of the given function without using either the product rule or the quotient rule.(b) Use the product rule or the quotient rule to find the derivative. Check that you obtain the same answer. [HINT: See Quick Examples 1 and 2.] g ( x ) = x ⋅ x 2

(a)

To determine

To calculate: The derivative of function g(x)=xx2 without using product or quotient rule.

Explanation

Given Information:

The function is g(x)=xx2.

Formula used:

Derivative of function f(x)=xn using power rule is f'(x)=nxn1.

Calculation:

Consider the function, g(x)=xx2

Simplify the function,

g

(b)

To determine

To calculate: The derivative of function g(x)=xx2 using product or quotient rule. Also, check the answer.

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