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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

x \to 2 lim (x^{2} + 2 x - 1)

\frac{d}{d x} (sin (\frac{π}{4} e^{2 x}))

\frac{d}{d x} (3 x^{2} (x^{3} + 1)^{7})

t^{2} y^{^{''}} - 3 t y^{^{'}} + 4 y = t^{2} \cdot ln (t)

x \to 0 lim (x^{6} ln (x))

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