Find all the second partial derivatives.f(x, y) = cos xy2
A. 
= -y4 cos xy2; 
= -2x[2xy2 cos(xy2) + sin(xy2)]; 
= 
= -2y[xy2 cos(xy2) + sin(xy2)]
B. 
= - y2 sin xy2; 
= 2y
; 
= 
= 2
C. 
= - y2 sin xy2; 
= 2[ sin (xy2) - 2y2 cos (xy2)]; 
= 
= 2y [sin (xy2) - y2 cos (xy2)]
D. 
= y2 sin xy2; 
= 2[2y2 cos (xy2) - sin (xy2)]; 
= 
= 2y[y2 cos (xy2) - sin (xy2)]
Answer: A
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