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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

\frac{d}{d x} (\frac{x ^{2} - 4 x}{( x - 2 ) ^{2}})

\int 2 cot^{2} (x) csc (x) d x

sin (x), x = 0

\frac{\partial}{\partial x} (x e^{y} + y)

1 - e^{- \frac{t}{4}}

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