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# Solved: Once you know the derivatives of sin x and cos x,

ISBN: 9780321717399 65

## Solution for problem 18E Chapter 3.R

University Calculus: Early Transcendentals | 2nd Edition

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University Calculus: Early Transcendentals | 2nd Edition

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Problem 18E

Once you know the derivatives of sin x and cos x, how can you find the derivatives of tan x, cot x, sec x, and csc x? What are the derivatives of these functions?

Step-by-Step Solution:

Step 1 of 6:

In this question, we have to find the derivative of

Step 2 of 6:

As we know that the derivative of

And

Step 3 of 6:

Now, we need to find the  by using the above derivative

By using the quotient rule

Hence, the required solution is

Step 4 of 6

Step 5 of 6

##### ISBN: 9780321717399

The full step-by-step solution to problem: 18E from chapter: 3.R was answered by , our top Calculus solution expert on 08/23/17, 12:53PM. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. The answer to “Once you know the derivatives of sin x and cos x, how can you find the derivatives of tan x, cot x, sec x, and csc x? What are the derivatives of these functions?” is broken down into a number of easy to follow steps, and 34 words. Since the solution to 18E from 3.R chapter was answered, more than 226 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. This full solution covers the following key subjects: Derivatives, functions, CSC, cos, Find. This expansive textbook survival guide covers 113 chapters, and 6504 solutions.

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