What is the derivative of cos(sqrt(3)x) ?

The derivative of cos(sqrt(3)x) is -sin(sqrt(3)x)sqrt(3)

What is the first derivative of cos(sqrt(3)x) ?

The first derivative of cos(sqrt(3)x) is -sin(sqrt(3)x)sqrt(3)

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\frac{d}{d x} (cos (3 x))

- sin (3 x) 3

Solution steps

\frac{d}{d x} (cos (3 x))

Apply the chain rule:

- sin (3 x) \frac{d}{d x} (3 x)

= - sin (3 x) \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = 3

= - sin (3 x) 3

What is the derivative of cos(sqrt(3)x) ?
The derivative of cos(sqrt(3)x) is -sin(sqrt(3)x)sqrt(3)
What is the first derivative of cos(sqrt(3)x) ?
The first derivative of cos(sqrt(3)x) is -sin(sqrt(3)x)sqrt(3)