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

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

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

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

6 x y

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 6 y x + 0

Simplify

= 6 x y

\int_{1}^{2} x e^{x} d x

d er i v a t i v e f (x) = 5^{s i n (x)}

\int_{1}^{e} ln (11 x) d x

\int 5^{x^{2}} d x

\int \frac{x}{36 - x ^{2}} d x

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