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

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

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

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

- cos (x)

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= - cos (x) - 0

Simplify

= - cos (x)

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