Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

What is the derivative of #arctan(1/x)#?

1 Answer

Jun 4, 2018

#f'(x) = -1/(1+x^2)#

Explanation:

#f(x) = arctan(1/x)#

Apply standard derivative and chain rule.

#f'(x) = 1/((1/x)^2+1) * d/dx (1/x)#

#= 1/(1/x^2+1) * (-1/x^2)#

#= x^2/(1+x^2) * (-1/x^2)#

# = -1/(1+x^2)#

Related questions

See all questions in Differentiating Inverse Trigonometric Functions

Impact of this question

10520 views around the world

You can reuse this answer
Creative Commons License