How to do this

Question

f(x)=sqrt(x+2), using dy/dx

Answer 1

y=f(x)

  =sqrt(x+2)

Take derivative both sides

dy/dx=d/dx(sqrt(x+2))

         =1/(2sqrt(x+1))*1

        =1/(2sqrt(x+1))

Comments

Derivative of f(x)= sqrt(x+2) is 1/(2sqrt(x+2)).

Answer 2

The fuction

Apply derivative on each side with respect of x .

Apply chain rule in derivatives.

and