   Chapter 11.3, 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 13-28, calculate d y d x . Simplify your answer. [HINT: See Example 1 and 2.] y = x x

To determine

To calculate: The derivative of function y=xx.

Explanation

Given Information:

The function is y=xx.

Formula used:

Product rule of derivative of differentiable functions, f(x) and g(x) is,

ddx[f(x)g(x)]=f'(x)g(x)+f(x)g'(x)

Derivative of function y=xn using power rule is dydx=nxn1.

Calculation:

Consider the function, y=xx

Rewrite the function,

y=xx=xx12

Apply product rule of derivative,

dydx=ddx(x)x12+xȬ

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