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

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

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

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

2 + 6 y x

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 2 + 6 y x

(x e^{- 3 x})^{^{'}}

\int_{0}^{2} x^{3} - 3 x^{2} + 4 d x

y^{^{'}} - \frac{5 y}{x} = 3 x^{4}, y (1) = 5

2 x \frac{d y}{d x} = (cos^{2} (y))

x \to 0 + lim (\frac{5}{1 + x})

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