f(x,y)= e^ax loge(y)
I need to find the first order, second order and cross partial derivatives of this function. I have some answers that a friend has given me but I have no idea how they've been calculate what techniques/rules have been employed so any help/explanation would be greatly appreciated. Cheers!
First, the standard notation for "loge(y)" is ln(y). Do you know the derivative of ln(y) with respect to y? Do you know the derivative of with respect to x? As ProveIt said, to differentiate with respect to x, treat y as a constant, and to differentiate with respect to y, treat x as a constant. Here, you just have a function of x times a function of y: F(x, y)= f(x)g(y).
So , , , , and .