Gina Renicker secondary asked by teacher 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
= 2 arctan(x^{1/2}) lnx Now differentiate both sides with respect to x to get
and thus
Finally replace y by
Cheers,
