Find the derivative of f(x)=\tan^{-1}(x).

Joan Thompson

Joan Thompson

Answered question

2021-12-13

Find the derivative of f(x)=tan1(x).

Answer & Explanation

alexandrebaud43

alexandrebaud43

Beginner2021-12-14Added 36 answers

y=arctan(x)
tan(y)=x
sec2ydydx=1
dydx=1sec2y
Since tan(y)=x1 and 12+x2=1+x2, sec2y=(1+x21)2=1+x2
dydx=11+x2
ambarakaq8

ambarakaq8

Beginner2021-12-15Added 31 answers

Apply the common derivative: ddx(arctan(x))=1x2+1

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?