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

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

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(\partial)/(\partial y)(x^3+xy)

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

x

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial y} (x^{3}) = 0

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

= 0 + x

Simplify

= x

x \to \infty lim (\frac{25 6 ^{\frac{x}{2}}}{4 ^{2 x}})

\int \frac{6}{x ^{2} + 4} d x

x \to 1 lim (\frac{x ^{2} + 1}{x - 1})

x \to 3 lim (2 ln (x - 4))

\int 12 (y - 1) x^{3} e^{2 x (y - 1)} d y

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