   Chapter 11.5, Problem 9E 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 1-66, find the derivative of the function. [HINT: See Quick Example 5-14.] r ( t ) = log 3 ( t + 1 / t )

To determine

To calculate: The derivative of the function r(t)=log3(t+1t).

Explanation

Given information:

The provided function is r(t)=log3(t+1t).

Formula used:

The derivative of the log to base b of a function is ddxlogbu=1ulnbdudx.

And the derivative of the function using power rule, y=xn is dydx=nxn1.

Calculation:

Consider the provided function r(t)=log3(t+1t),

To calculate the derivative of the function f(x)=log2x.

Apply the derivative of the log to base b of a function is ddxlogbu=1ulnbdudx.

Let, u=t+1t

Then, the derivative of function is,

r(t)=ddtlog3(t+1t)=1(t+1t)ln3ddt

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