What is the derivative of 2cot(x/8) ?

The derivative of 2cot(x/8) is -1/4 csc^2(x/8)

What is the first derivative of 2cot(x/8) ?

The first derivative of 2cot(x/8) is -1/4 csc^2(x/8)

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derivative of

2 cot (\frac{x}{8})

- \frac{1}{4} csc^{2} (\frac{x}{8})

Solution steps

\frac{d}{d x} (2 cot (\frac{x}{8}))

Take the constant out:

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

= 2 \frac{d}{d x} (cot (\frac{x}{8}))

Apply the chain rule:

- csc^{2} (\frac{x}{8}) \frac{d}{d x} (\frac{x}{8})

= - csc^{2} (\frac{x}{8}) \frac{d}{d x} (\frac{x}{8})

\frac{d}{d x} (\frac{x}{8}) = \frac{1}{8}

= 2 (- csc^{2} (\frac{x}{8}) \frac{1}{8})

Simplify

2 (- csc^{2} (\frac{x}{8}) \frac{1}{8}) : - \frac{1}{4} csc^{2} (\frac{x}{8})

= - \frac{1}{4} csc^{2} (\frac{x}{8})

x \to - 2 lim (4)

\int \frac{1}{x ^{2} - 225} d x

\frac{\partial}{\partial s} (s + 2 t - u)

\frac{d}{d x} ((x - 1) (x - 2) (x - 3))

\frac{d P}{d t} = P (3 - P) - \frac{9}{4}

What is the derivative of 2cot(x/8) ?
The derivative of 2cot(x/8) is -1/4 csc^2(x/8)
What is the first derivative of 2cot(x/8) ?
The first derivative of 2cot(x/8) is -1/4 csc^2(x/8)