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

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

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

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

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

- csc^{2} (x) - cos (2 x) \cdot 2

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (cot (x)) = - csc^{2} (x)

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

= - csc^{2} (x) - cos (2 x) \cdot 2

y = x, x^{2}, [0, 1]

y = - \frac{8 x}{x ^{2} + 1}, (1, - 4)

x^{2} + 2 x + 11, - 4 x + 2, x = 0

x \to 6 lim (∣ x - 6 ∣)

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{t} + e^{2 t}

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