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

The answer to (\partial)/(\partial x)(x^2y^2-3x) is 2y^2x-3

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

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

2 y^{2} x - 3

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 2 y^{2} x - 3

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