Question 1 Figure out the following partial derivatives. (1) For f(x, y) = atip, find out fr and fy. (2) Use implicit differentiation, find out % and oz where yz + alny = z2. (3) For f(x, y) = sin(x2 - y?), find out the second order partial derivatives fax, fay, fyy (4) For f(x, y, z) = xy2 23 + arcsin(xvz), find out fxzy