   Chapter 9.5, Problem 11E ### 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 11-20, find the indicated derivatives and simplify. d p d q  for  p = q 2 + 3 2 q − 1

To determine

To calculate: The derivative of the expression (q2+3)(2q1) with simplification.

Explanation

Given Information:

The provided expression is (q2+3)(2q1).

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 is (q2+3)(2q1).

In the expression, the value of,

f(q)=(q2+3)

And

g(q)=(2q1)

Apply the quotient rule on the expression as,

ddq(fg)=ddq(q2+3).(2q1)ddq(2q1).(q2+3)(2q1)2

Evaluate the expression further,

ddq(fg)=(ddq(q2)+ddq(3))

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