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

The derivative of sin(sin(2x)) is cos(sin(2x))cos(2x)*2

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

The first derivative of sin(sin(2x)) is cos(sin(2x))cos(2x)*2

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

cos (sin (2 x)) cos (2 x) \cdot 2

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (sin (2 x)) = cos (2 x) \cdot 2

= cos (sin (2 x)) cos (2 x) \cdot 2

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