What is the derivative of #arcsin[x^(1/2)]#?
To find the derivative we will need to use the Chain Rule
We want to find
Following the chain rule we let
Deriving u we get
Now we substitute u in place of x in the original equation and derive to find
Now we substitute these derived values into the chain rule to
Substitute x back into the equation to get the derivative in terms of x only and simplify