   Chapter 11.1, Problem 28E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 25-38, find y'. y = 1 + ln x x 2

To determine

To calculate: The value of y for the function y=1+lnxx2.

Explanation

Given Information:

The provided function is y=1+lnxx2.

Formula Used:

Quotient rule for function f(x)=u(x)v(x), where u and v are differentiable functions of x, then f(x)=v(x)u(x)u(x)v(x)[v(x)]2.

If the logarithmic equation is y=lnx then its derivative is such that, dydx=1x.

Power of x rule for a real number n is such that, if f(x)=xn then f(x)=nxn1.

Calculation:

Consider the function, y=1+lnxx2.

Differentiate with respect to x,

dydx=ddx(1+lnxx2)

Use the quotient rule of derivatives,

dydx=

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