Chapter 9, Problem 57RE

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Chapter
Section

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

# If y = 1 x − 1 x , find y’.

To determine

To calculate: The value of y for the function y=1x1x.

Explanation

Given Information:

The provided function is y=1x1x.

Formula used:

Power of x rule for function f(x)=xn is f(x)=nxn1, where n is a real number.

If any nonzero real number a has a negative integer n as its exponent then an=1an.

Calculation:

Consider the function,

y=1x1x

Rewrite the function as,

y=1x1x12=x1x12

Differentiate both sides with respect to x,

dydx=ddx(x1x12)y=ddx(x1)

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