What is (\partial)/(\partial x)(-0.1*cos(6*x)) ?

The answer to (\partial)/(\partial x)(-0.1*cos(6*x)) is 0.6sin(6x)

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(\partial)/(\partial x)(-0.1cos(6x))

\frac{\partial}{\partial x} (- 0.1 \cdot cos (6 \cdot x))

0.6 sin (6 x)

Solution steps

\frac{\partial}{\partial x} (- 0.1 cos (6 x))

Take the constant out:

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

= - 0.1 \frac{\partial}{\partial x} (cos (6 x))

Apply the chain rule:

- sin (6 x) \frac{\partial}{\partial x} (6 x)

= - sin (6 x) \frac{\partial}{\partial x} (6 x)

\frac{\partial}{\partial x} (6 x) = 6

= - 0.1 (- sin (6 x) \cdot 6)

Simplify

= 0.6 sin (6 x)

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What is (\partial)/(\partial x)(-0.1*cos(6*x)) ?
The answer to (\partial)/(\partial x)(-0.1*cos(6*x)) is 0.6sin(6x)