The derivative of the equation y = 3^(xlnx) can be obtained by taking the logarithm of the function. this is expressed as ln y = 3 ln (xlnx). in this case, the derivative is
ln y = 3 ln (xlnx)dy/y = 3 dx / xlnx + x dx/x + ln x dxdy/dx = 3y /x ln x + y + y ln x
the derivative is 3y /x ln x + y + y ln x where y is 3^(xlnx)