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

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