What is (\partial)/(\partial x)(5xy-18x) ?

The answer to (\partial)/(\partial x)(5xy-18x) is 5y-18

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(\partial)/(\partial x)(5xy-18x)

\frac{\partial}{\partial x} (5 x y - 18 x)

5 y - 18

Solution steps

\frac{\partial}{\partial x} (5 x y - 18 x)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (5 x y) - \frac{\partial}{\partial x} (18 x)

\frac{\partial}{\partial x} (5 x y) = 5 y

\frac{\partial}{\partial x} (18 x) = 18

= 5 y - 18

\frac{d}{d x} ((7 x + 8) (8 x - 9))

\int \frac{x ^{2} - 225}{x} d x

y^{^{'}} = 2 x 1 - y^{2}

\frac{d}{d x} ((A x + B) e^{x})

y^{^{'}} + y = e^{9 t}, y (0) = - 1

What is (\partial)/(\partial x)(5xy-18x) ?
The answer to (\partial)/(\partial x)(5xy-18x) is 5y-18