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

The answer to (\partial)/(\partial y)(5x^2y+5xy^2) is 5x^2+10xy

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

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

5 x^{2} + 10 x y

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{\partial}{\partial y} (5 x y^{2}) = 10 x y

= 5 x^{2} + 10 x y

\frac{d}{d x} (x (x - 1)^{2})

y^{^{'}} = \frac{( 1 + y )}{x ^{2} + x}

\frac{1}{3 s}

\frac{\partial}{\partial x} (x^{2} y z^{2})

\frac{\partial}{\partial y} (2 x ln (y) - yz)

What is (\partial)/(\partial y)(5x^2y+5xy^2) ?
The answer to (\partial)/(\partial y)(5x^2y+5xy^2) is 5x^2+10xy