Homework Help

Find the derivative of the function. f(x) = arcsin x^(2)

user profile pic

davidsang8 | Student, Undergraduate | (Level 3) eNoter

Posted February 25, 2013 at 5:40 PM via web

dislike 1 like

Find the derivative of the function.

f(x) = arcsin x^(2)

1 Answer | Add Yours

user profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted February 25, 2013 at 5:45 PM (Answer #1)

dislike 0 like

You need to differentiate the function with respect to x, using chain rule, such that:

`f'(x) = (arcsin(x^2))'*(x^2)'`

`f'(x) = 1/(sqrt(1 - (x^2)^2))*(2x)`

`f'(x) = (2x)/(sqrt(1 - (x^4))`

Hence, evaluating derivative of the given function, using the chain rule, yields `f'(x) = (2x)/(sqrt(1 - (x^4)).`

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes