What is (\partial)/(\partial x)(330.28cos(23x)) ?

The answer to (\partial)/(\partial x)(330.28cos(23x)) is -7596.44sin(23x)

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(\partial)/(\partial x)(330.28cos(23x))

\frac{\partial}{\partial x} (330.28 cos (23 x))

- 7596.44 sin (23 x)

Solution steps

\frac{\partial}{\partial x} (330.28 cos (23 x))

Take the constant out:

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

= 330.28 \frac{\partial}{\partial x} (cos (23 x))

Apply the chain rule:

- sin (23 x) \frac{\partial}{\partial x} (23 x)

= - sin (23 x) \frac{\partial}{\partial x} (23 x)

\frac{\partial}{\partial x} (23 x) = 23

= 330.28 (- sin (23 x) \cdot 23)

Simplify

= - 7596.44 sin (23 x)

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What is (\partial)/(\partial x)(330.28cos(23x)) ?
The answer to (\partial)/(\partial x)(330.28cos(23x)) is -7596.44sin(23x)