Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you find the derivative of #arcsin(x/2) #?

1 Answer

Dec 19, 2015

#d/dxsin^(-1)(x/2)=1/(2(sqrt(1-(x^2/4)))#

Explanation:

The rule for differentiation of the inverse sine function states that :

#d/dx sin^(-1)u(x)=1/(sqrt(1-u^2))*(du)/dx#.

So applying this rule in this particular case we get :

#d/dxsin^(-1)(x/2)=1/(sqrt(1-(x/2)^2))*(1/2)#

Related questions

See all questions in Differentiating Inverse Trigonometric Functions

Impact of this question

952 views around the world

You can reuse this answer
Creative Commons License