What is the derivative of cos(nx) ?

The derivative of cos(nx) is -sin(nx)n

What is the first derivative of cos(nx) ?

The first derivative of cos(nx) is -sin(nx)n

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\frac{d}{d x} (cos (n x))

- sin (n x) n

Solution steps

\frac{d}{d x} (cos (n x))

Apply the chain rule:

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

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

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

= - sin (n x) n

What is the derivative of cos(nx) ?
The derivative of cos(nx) is -sin(nx)n
What is the first derivative of cos(nx) ?
The first derivative of cos(nx) is -sin(nx)n