## anonymous one year ago Derivative of y= (1+x^1/2)^2

1. Michele_Laino

here you have to apply the formula of the derivative of a function of function, namely: $\frac{{df}}{{dx}} = 2\left( {1 + {x^2}} \right) \cdot \frac{{d\left( {1 + {x^2}} \right)}}{{dx}}$

2. sweetburger

chain rule right? take the exponent bring it the front then leave that and then proceed to take the derivative of whatever is inside of the parenthesis

3. Michele_Laino

correct!

4. Michele_Laino

oops.. I made an error, here is the right step: $\frac{{dy}}{{dx}} = 2\left( {1 + \sqrt x } \right) \cdot \frac{{d\left( {1 + \sqrt x } \right)}}{{dx}}$

5. anonymous

Thank you! I understand it now