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

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

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

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

3 x^{2} + 2 y

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 3 x^{2} + 2 y

x^{2} - 4, - 4, 3

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

n = 0 \sum \infty p^{k}

n = 1 \sum \infty \frac{n - 8}{n + 8}

\int (e^{x} + a^{x}) d x

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