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

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

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

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

x

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial y} (x y) = x

\frac{\partial}{\partial y} (x^{2}) = 0

= x + 0

Simplify

= x

x y^{^{'}} = y + x^{2} sin (x), y (\frac{π}{4}) = 0

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

x \to + 3 lim (\frac{8}{x - 3})

5 x, \frac{5}{x}, 0, 5

\int_{0}^{\frac{π}{4}} 6 tan^{3} (x) d x

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