   Chapter 11, Problem 3RE ### 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 1-12, find the derivative of each function. p =  ln  ( q q 2 − 1 )

To determine

To calculate: The derivative of the provided function p=ln(qq21).

Explanation

Given Information:

The provided function is:

p=ln(qq21)

Formula used:

Logarithmic Property for any natural logarithms is:

ln(MN)=lnMlnN

And

The derivatives of logarithmic function:

ddxln(f(x))=1f(x)ddxf(x)

Where, f(x) is a differentiable function of x.

Calculation:

Consider the provided function:

p=ln(qq21)

Rewrite the equation using logarithmic property, we get,

p=lnqln(q21)

Differentiate both sides with respect to q

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