What is the derivative of 2cos(-6x) ?

The derivative of 2cos(-6x) is -12sin(6x)

What is the first derivative of 2cos(-6x) ?

The first derivative of 2cos(-6x) is -12sin(6x)

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\frac{d}{d x} (2 cos (- 6 x))

- 12 sin (6 x)

Solution steps

\frac{d}{d x} (2 cos (- 6 x))

Simplify

2 cos (- 6 x) : 2 cos (6 x)

= \frac{d}{d x} (2 cos (6 x))

Take the constant out:

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

= 2 \frac{d}{d x} (cos (6 x))

Apply the chain rule:

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

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

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

= 2 (- sin (6 x) \cdot 6)

Simplify

= - 12 sin (6 x)

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What is the derivative of 2cos(-6x) ?
The derivative of 2cos(-6x) is -12sin(6x)
What is the first derivative of 2cos(-6x) ?
The first derivative of 2cos(-6x) is -12sin(6x)