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

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

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

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

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derivative of

cos (sin (3 x))

- sin (sin (3 x)) cos (3 x) \cdot 3

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (sin (3 x)) = cos (3 x) \cdot 3

= - sin (sin (3 x)) cos (3 x) \cdot 3

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