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

The answer to (\partial)/(\partial x)(xcos(y)-2y) is cos(y)

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(\partial)/(\partial x)(xcos(y)-2y)

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

cos (y)

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (2 y) = 0

= cos (y) - 0

Simplify

= cos (y)

\int (x^{2} \frac{e ^{- 2 x}}{2}) d x

7 (t + 1) \frac{d y}{d t} - 6 y = 6 t

\frac{2}{3 s ^{2} + 4}

\int cos (2 v) d v

What is (\partial)/(\partial x)(xcos(y)-2y) ?
The answer to (\partial)/(\partial x)(xcos(y)-2y) is cos(y)