How do you differentiate e^xy ? ... Use implicit differentiation
The derivative of e to the power of any function is the same function, TIMES the derivative of the exponent alone (Chain Rule).
In this case, the exponent is (x)(y) which is two smaller functions multiplied together (Product Rule).
The derivative of "xy" is y+xy', where y' is dy/dx, or the derivative of y with respect to x.