Question

If y = arcsin square root x , find dy/dx

Answer 1

Hey.
Have you learned the derivative of arcsin x yet?

Answer 2

\[\frac{ 1 }{ (2\sqrt{(-(-1+x) x)} }\]

Answer 3

If y=arcsin x,\[\frac{ dy }{ dx }=\frac{ 1 }{ \sqrt{1-x^2} }\]

Answer 4

If \[y=\arcsin \sqrt{x}\] we follow the same pattern, but must also apply the Chain Rule. Can you finish this derivative?