#### Answer

$p^{\prime}=sec^2q$

#### Work Step by Step

As given that
$p=5+\frac{1}{cotq}$
$p=5+tanq$ (because tan $\theta$ and $cot \theta$ are reciprocals)
We differentiate both sides to obtain:
$p^{\prime}=0+sec^2q$
$p^{\prime}=sec^2q$

Published by
Pearson

ISBN 10:
0-32187-896-5

ISBN 13:
978-0-32187-896-0

$p^{\prime}=sec^2q$

You can help us out by revising, improving and updating this answer.

Update this answerAfter you claim an answer you’ll have **24 hours** to send in a draft. An editor
will review the submission and either publish your submission or provide feedback.