   Chapter 11, Problem 25RE 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 1-32, find the derivative of the given function. f ( x ) = 3 x x − 1

To determine

To calculate: The derivative of the function f(x)=3xx1.

Explanation

Given information:

The provided function is f(x)=3xx1.

Formula used:

Quotient rule of derivative of differentiable functions, f(x) and g(x) is

ddx[f(x)g(x)]=f'(x)g(x)f(x)g'(x)[g(x)]2 Where, g(x)0.

The derivative of constant b raised to x is ddxbx=bxlnb.

Calculation:

Consider the function, f(x)=3xx1

Apply quotient rule of derivative,

f(x)=ddx(3x)(x1)3xddx(x1)(x1)2=ddx(3x)(x1)3x(dx

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