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

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

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(\partial)/(\partial x)(xy-x^2)

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

y - 2 x

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= y - 2 x

y^{^{'}} = x + y, y (0) = 6

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

\frac{\partial}{\partial s} (s^{2} + t^{2})

\int_{0}^{3} 5 - x^{2} d x

2 t cos (2 t)

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