Question

How do you differentiate `x^(6x)`?

Answer 1

You can write this as

`x^(6*x)=e^(6x*lnx)`

Hence

`d(x^(6x))/dx=d(e^(6x*lnx)/dx)=e^(6x*lnx)*(6*lnx+6)= 6*x^(6x)*(lnx+1)`