What is (\partial)/(\partial x)(7xy-3x^2y) ?

The answer to (\partial)/(\partial x)(7xy-3x^2y) is 7y-6yx

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(\partial)/(\partial x)(7xy-3x^2y)

\frac{\partial}{\partial x} (7 x y - 3 x^{2} y)

7 y - 6 y x

Solution steps

\frac{\partial}{\partial x} (7 x y - 3 x^{2} y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (7 x y) - \frac{\partial}{\partial x} (3 x^{2} y)

\frac{\partial}{\partial x} (7 x y) = 7 y

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

= 7 y - 6 y x

x^{4} - 20 x^{2} + 64, at x = 2

2 t y^{^{'}} + 4 y = 3

t (t^{2} - 1)^{2}

\int 1 - r^{2} \cdot r d r

\frac{\partial}{\partial x} (ln (1 + x))

What is (\partial)/(\partial x)(7xy-3x^2y) ?
The answer to (\partial)/(\partial x)(7xy-3x^2y) is 7y-6yx