   Chapter 11.5, Problem 53E 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.] u ( x ) = 3 x 2 x 2 + 1

To determine

To calculate: The derivative of the function u(x)=3x2x2+1.

Explanation

Given Information:

The provided function is u(x)=3x2x2+1.

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 a function is ddxbu=bulnbdudx.

Calculation:

Consider the provided function,

u(x)=3x2x2+1

Apply quotient rule of derivative,

u(x)=ddx(3x2)(x2+1)3x2ddx(x2+1)(x2+1)2

The derivative of constant b raised to a function is ddxbu=bulnbdudx

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