What is the derivative of cos(-5x) ?

The derivative of cos(-5x) is -sin(5x)*5

What is the first derivative of cos(-5x) ?

The first derivative of cos(-5x) is -sin(5x)*5

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derivative of

cos (- 5 x)

- sin (5 x) \cdot 5

Solution steps

\frac{d}{d x} (cos (- 5 x))

Simplify

cos (- 5 x) : cos (5 x)

= \frac{d}{d x} (cos (5 x))

Apply the chain rule:

- sin (5 x) \frac{d}{d x} (5 x)

= - sin (5 x) \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = 5

= - sin (5 x) \cdot 5

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What is the derivative of cos(-5x) ?
The derivative of cos(-5x) is -sin(5x)*5
What is the first derivative of cos(-5x) ?
The first derivative of cos(-5x) is -sin(5x)*5