What is (\partial)/(\partial y)(4x^2y-5xy^2) ?

The answer to (\partial)/(\partial y)(4x^2y-5xy^2) is 4x^2-10xy

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(\partial)/(\partial y)(4x^2y-5xy^2)

\frac{\partial}{\partial y} (4 x^{2} y - 5 x y^{2})

4 x^{2} - 10 x y

Solution steps

\frac{\partial}{\partial y} (4 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} (4 x^{2} y) - \frac{\partial}{\partial y} (5 x y^{2})

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

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

= 4 x^{2} - 10 x y

What is (\partial)/(\partial y)(4x^2y-5xy^2) ?
The answer to (\partial)/(\partial y)(4x^2y-5xy^2) is 4x^2-10xy