What is the derivative of 2cos(cot(2x+1)) ?

The derivative of 2cos(cot(2x+1)) is 4csc^2(2x+1)sin(cot(2x+1))

What is the first derivative of 2cos(cot(2x+1)) ?

The first derivative of 2cos(cot(2x+1)) is 4csc^2(2x+1)sin(cot(2x+1))

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\frac{d}{d x} (2 cos (cot (2 x + 1)))

4 csc^{2} (2 x + 1) sin (cot (2 x + 1))

Solution steps

\frac{d}{d x} (2 cos (cot (2 x + 1)))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (cos (cot (2 x + 1)))

Apply the chain rule:

- sin (cot (2 x + 1)) \frac{d}{d x} (cot (2 x + 1))

= - sin (cot (2 x + 1)) \frac{d}{d x} (cot (2 x + 1))

\frac{d}{d x} (cot (2 x + 1)) = - csc^{2} (2 x + 1) \cdot 2

= 2 (- sin (cot (2 x + 1)) (- csc^{2} (2 x + 1) \cdot 2))

Simplify

= 4 csc^{2} (2 x + 1) sin (cot (2 x + 1))

x \to - 7 + lim (\frac{1}{x + 7})

\int_{2}^{4} 3 e^{3 x} d x

\frac{d}{d x} (6 e^{x})

x \to 1 lim (3 x + 1)

\int x (ln (x))^{3} d x

What is the derivative of 2cos(cot(2x+1)) ?
The derivative of 2cos(cot(2x+1)) is 4csc^2(2x+1)sin(cot(2x+1))
What is the first derivative of 2cos(cot(2x+1)) ?
The first derivative of 2cos(cot(2x+1)) is 4csc^2(2x+1)sin(cot(2x+1))