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

The answer to (\partial)/(\partial x)(3x^2+2xy) is 6x+2y

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

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

6 x + 2 y

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (3 x^{2}) = 6 x

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

= 6 x + 2 y

\int \frac{1}{4 ^{x}} d x

\int x e^{- 6 x^{2}} d x

x \to - 2 lim (4 x^{2} - 3 x + 5)

\frac{y ^{2} + 1}{y d y} = \frac{x}{d x}

\frac{d}{d x} (2 x^{2} - 4 x + 5)

What is (\partial)/(\partial x)(3x^2+2xy) ?
The answer to (\partial)/(\partial x)(3x^2+2xy) is 6x+2y