What is (\partial)/(\partial x)(2x^3y+1) ?

The answer to (\partial)/(\partial x)(2x^3y+1) is 6x^2y

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(\partial)/(\partial x)(2x^3y+1)

\frac{\partial}{\partial x} (2 x^{3} y + 1)

6 x^{2} y

Solution steps

\frac{\partial}{\partial x} (2 x^{3} y + 1)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (2 x^{3} y) + \frac{\partial}{\partial x} (1)

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

\frac{\partial}{\partial x} (1) = 0

= 6 y x^{2} + 0

Simplify

= 6 x^{2} y

x \to 5 lim (x + 2)

x \to 2 lim ((x - 1)^{2} - 1)

\frac{x + 2}{10 - 3 x}

\frac{d}{d x} (x e^{9 x y})

\int \frac{2 x - 3}{x ^{2} + 6 x + 13} d x

What is (\partial)/(\partial x)(2x^3y+1) ?
The answer to (\partial)/(\partial x)(2x^3y+1) is 6x^2y