1.

If \(u = {x^4} + y{x^3} + 3{x^2}.{y^2} + 3{x^2}y\), Find ∂u/∂x

A. \(4{x^3} + 6x{y^2} + 6xy\)
B. \(4{{\rm{x}}^3} + 6{{\rm{x}}^2}{\rm{y}} + 3{\rm{x}}{{\rm{y}}^2} + 6{\rm{xy}}\)
C. \(4{{\rm{x}}^3} + 3{{\rm{x}}^2}{\rm{y}} + 6{\rm{x}}{{\rm{y}}^2} + 6{\rm{xy}}\)
D. \(4{{\rm{x}}^3} + 6{\rm{x}}{{\rm{y}}^2} + 6{\rm{xy}}\)
Answer» D. \(4{{\rm{x}}^3} + 6{\rm{x}}{{\rm{y}}^2} + 6{\rm{xy}}\)


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