Question

What's the derivative of `y= arctan(sqrtx)`?

Answer 1

`f'(x)=(1)/(2sqrt(x)(x+1)`

Explanation:

`f(x)=arctan(sqrt(x))`

Apply the chain rule:

`f'(x)=(1)/(x+1).(dsqrt((x)))/(dx)`

`f'(x)=((1)/(2sqrt(x)))/((x+1))`

`f'(x)=(1)/(2sqrt(x)(x+1))`