   Chapter 9.5, Problem 18E Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Solutions

Chapter
Section Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

In Problems 11-20, find the indicated derivatives and simplify. d y d x  for  y = 2 x − 1 1 − 4 x 3

To determine

To calculate: The derivative of the expression 2x114x3 with simplification.

Explanation

Given Information:

The provided expression is 2x114x3.

Formula Used:

The quotient rule:

If two functions are given in the form f(x)g(x), then the derivative is given as,

ddx(fg)=f.gg.fg2.

Calculation:

Consider the provided expression 2x114x3,

For the derivative of 2x114x3, follow the steps:

In the expression, the value of,

f(x)=2x1

And

g(x)=14x3

Apply the quotient rule of the expression,

ddx(fg)=ddx(2x1).(14x3)ddx(14x3).(2x1)(14x3)2

Evaluate the expression further,

ddx(fg)=(2ddq(x)ddx(1)).(14x3)(ddx(1)4ddx(x3))

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