What is (\partial)/(\partial x)(-cos(4x)) ?

The answer to (\partial)/(\partial x)(-cos(4x)) is 4sin(4x)

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(\partial)/(\partial x)(-cos(4x))

\frac{\partial}{\partial x} (- cos (4 x))

4 sin (4 x)

Solution steps

\frac{\partial}{\partial x} (- cos (4 x))

Take the constant out:

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

= - \frac{\partial}{\partial x} (cos (4 x))

Apply the chain rule:

- sin (4 x) \frac{\partial}{\partial x} (4 x)

= - sin (4 x) \frac{\partial}{\partial x} (4 x)

\frac{\partial}{\partial x} (4 x) = 4

= - (- sin (4 x) \cdot 4)

Simplify

= 4 sin (4 x)

What is (\partial)/(\partial x)(-cos(4x)) ?
The answer to (\partial)/(\partial x)(-cos(4x)) is 4sin(4x)