What is (\partial)/(\partial x)(-ysin(x)) ?

The answer to (\partial)/(\partial x)(-ysin(x)) is -ycos(x)

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(\partial)/(\partial x)(-ysin(x))

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

- y cos (x)

Solution steps

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

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

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

= - y cos (x)

What is (\partial)/(\partial x)(-ysin(x)) ?
The answer to (\partial)/(\partial x)(-ysin(x)) is -ycos(x)