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
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?
?
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