What is the derivative of sin(2cos(3x)) ?

The derivative of sin(2cos(3x)) is -6cos(2cos(3x))sin(3x)

What is the first derivative of sin(2cos(3x)) ?

The first derivative of sin(2cos(3x)) is -6cos(2cos(3x))sin(3x)

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\frac{d}{d x} (sin (2 cos (3 x)))

- 6 cos (2 cos (3 x)) sin (3 x)

Solution steps

\frac{d}{d x} (sin (2 cos (3 x)))

Apply the chain rule:

cos (2 cos (3 x)) \frac{d}{d x} (2 cos (3 x))

= cos (2 cos (3 x)) \frac{d}{d x} (2 cos (3 x))

\frac{d}{d x} (2 cos (3 x)) = - 6 sin (3 x)

= cos (2 cos (3 x)) (- 6 sin (3 x))

Simplify

= - 6 cos (2 cos (3 x)) sin (3 x)

What is the derivative of sin(2cos(3x)) ?
The derivative of sin(2cos(3x)) is -6cos(2cos(3x))sin(3x)
What is the first derivative of sin(2cos(3x)) ?
The first derivative of sin(2cos(3x)) is -6cos(2cos(3x))sin(3x)