Explanation Given : The function is y = x x . Calculation: Take logarithm on both sides of the equation y = x x as follows: ln y = ln ( x x ) = x ln ( x ) Differentiate both sides of the equation ln y = x ln ( x ) as follows: d d x ( ln y ) = d d x [ x ln ( x ) ]

15th Edition

ISBN: 9781305177291

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Chapter 3.7, Problem 37E

To determine

The derivative of the function y=xx .

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Chapter 3.7, Problem 36E

Chapter 3.7, Problem 38E

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Find the derivative using logarithmic differentiation. Simplify you answer. Don't skip/combine steps. x²V3x - 2 y = (x + 1)2

Chapter 3 Solutions

Biocalculus: Calculus For Life Sciences

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The derivative of the function y = x x .

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