What is (\partial)/(\partial x)(cos(y)-sin(x)) ?

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

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(\partial)/(\partial x)(cos(y)-sin(x))

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

- cos (x)

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 - cos (x)

Simplify

= - cos (x)

\int 2 (x - 3)^{3} d x

\frac{d ^{2} y}{d x ^{2}} + 4 y = sin (2)

\int x e^{y^{3}} d y

P = x^{3} - 5 x, (1, - 4)

cos (\frac{1 - e ^{8 x}}{1 + e ^{8 x}})

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