Question

What is the derivative of `x^(7x)`?

Answer 1

Rewrite this as `e^(7x*lnx)` Hence the derivative is

#d(e^(7x*lnx))/dx=e^(7x*lnx)*[7*lnx+7x*1/x]=7*e^(7x*lnx)*[lnx+1]= 7*x^(7x)*(lnx+1)#