Derivatives involving other trigonometric functions Find the derivative of the f

Cabiolab

Cabiolab

Answered question

2021-10-08

Derivatives involving other trigonometric functions Find the derivative of the following functions.
y=tanx+cotx

Answer & Explanation

irwchh

irwchh

Skilled2021-10-09Added 102 answers

Step 1
Given
y=tan(x)+cot(x)
By using
ddx[f(x)+g(x)]=ddx(f(x))+ddx(g(x))
ddx[tan(x)]=sec2(x)
ddx[cot(x)]=csc2(x)
Step 2
Differentiate y=tan(x)+cot(x) with respect to x
dydx=ddx[tan(x)+cot(x)]
=ddx[tan(x)]+ddx[cot(x)]
=sec2(x)csc2(x)
Jeffrey Jordon

Jeffrey Jordon

Expert2022-11-14Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?