Find all the second order partial derivatives of the given function.f(x, y) = cos (xy2)

A.  = y2 sin xy2 = 2[2y2 cos (xy2) - sin (xy2)] ;   =  = 2y[y2 cos (xy2) - sin (xy2)]
B.  = -y4 cos xy2 = - 2x[2xy2 cos (xy2) + sin(xy2)];   =  = 
- 2y[xy2 cos (xy2) + sin(xy2)];
C.  = - y2 sin xy2 = 2y;   =  = 2
D.  = - y2 sin xy2 = 2[ sin (xy2)- 2y2 cos (xy2)] ;   =  = 2y [sin (xy2)-y2 cos (xy2)]


Answer: B

Mathematics

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