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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{d}{d x} (a cos (7 x) + b sin (7 x))

n = 1 \sum \infty \frac{2 ^{- n}}{5 ^{- n}}

\frac{d}{d x} (5 x + 3)

t^{2} e^{t}

f (x) = \frac{( x ^{2} - 1 )}{( 2 x - 3 )}

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