The derivative of:

y=e^(xlnx) and y=x^{2arctan(x1/2)}

Hi Gina,

To find the derivative of the first function you need to differentiate the exponential function and then apply the chain rule. If

then

The key to the second problem is to take the natural log of both sides. Thus if

then

Now differentiate both sides with respect to x to get

and thus

Finally replace y by

Cheers,
Harley