What is (\partial)/(\partial x)(5xy-10y) ?

The answer to (\partial)/(\partial x)(5xy-10y) is 5y

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(\partial)/(\partial x)(5xy-10y)

\frac{\partial}{\partial x} (5 x y - 10 y)

5 y

Solution steps

\frac{\partial}{\partial x} (5 x y - 10 y)

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} (10 y)

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

\frac{\partial}{\partial x} (10 y) = 0

= 5 y - 0

Simplify

= 5 y

\frac{d}{d x} ((8 x - 2 x^{2}) cos (y))

y = (x^{3} + 8) e^{x}

\int (x^{3} + 4)^{4} (3 x^{2}) d x

\frac{d}{d x} (x x)

\int 3 d x

What is (\partial)/(\partial x)(5xy-10y) ?
The answer to (\partial)/(\partial x)(5xy-10y) is 5y