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

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

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

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

3 y^{2}

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial y} (y^{3}) = 3 y^{2}

= 0 + 3 y^{2}

Simplify

= 3 y^{2}

x \to 1 lim (\frac{∣ x - 8 ∣}{x - 8})

\frac{d}{d x} (\frac{3 x}{1 - x})

x \to 4 lim (- \frac{4}{- x + 4})

\int e^{\frac{1}{x}} d x

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

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