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

The answer to (\partial)/(\partial x)(2x^2y+3) is 4xy

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

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

4 x y

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (2 x^{2} y) = 4 y x

\frac{\partial}{\partial x} (3) = 0

= 4 y x + 0

Simplify

= 4 x y

\frac{x + 1}{x - 1}

\frac{d r}{d θ} r = (4 + sec (θ)) sin (θ)

f (x) = (x^{2} \cdot 5^{x})^{9}

\int 12 x (3 x^{2} - 1)^{3} d x

f (x) = 3 - 6 x

What is (\partial)/(\partial x)(2x^2y+3) ?
The answer to (\partial)/(\partial x)(2x^2y+3) is 4xy