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

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

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

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

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

2 csc^{2} (2 x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

= 2 csc^{2} (2 x)

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

\frac{d y}{d x} = \frac{6}{5} (1 - \frac{y}{8})

2 y^{^{'}} = 0

y = \frac{x ^{5} - 8 x}{x ^{3}}, (1, 4)

n = 2 \sum \infty \frac{4}{n ^{2} - 1}

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