Derivative: y=3^ (xlnx)

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)