What is (\partial ^2)/(\partial x\partial y)(x^5+x^2y+x+3) ?

The answer to (\partial ^2)/(\partial x\partial y)(x^5+x^2y+x+3) is 2x

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(\partial ^2)/(\partial x\partial y)(x^5+x^2y+x+3)

\frac{\partial ^{2}}{\partial x \partial y} (x^{5} + x^{2} y + x + 3)

2 x

Solution steps

\frac{\partial ^{2}}{\partial x \partial y} (x^{5} + x^{2} y + x + 3)

\frac{\partial}{\partial x} (x^{5} + x^{2} y + x + 3) = 5 x^{4} + 2 x y + 1

= \frac{\partial}{\partial y} (5 x^{4} + 2 x y + 1)

\frac{\partial}{\partial y} (5 x^{4} + 2 x y + 1) = 2 x

= 2 x

What is (\partial ^2)/(\partial x\partial y)(x^5+x^2y+x+3) ?
The answer to (\partial ^2)/(\partial x\partial y)(x^5+x^2y+x+3) is 2x