What is the derivative of 2/(tan(x)) ?

The derivative of 2/(tan(x)) is -2csc^2(x)

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

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

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

- 2 csc^{2} (x)

Solution steps

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

Simplify

\frac{2}{tan ( x )} : 2 cot (x)

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

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

= - 2 csc^{2} (x)

x^{3} + 5 x^{2} - 63 x - 140

25 y^{^{''}} - 40 y^{^{'}} + 16 y = 0, y (0) = 3, y^{^{'}} (0) = - 2

\int cos (5 x) d (5 x) d x

f (x) = \frac{5}{x ^{4}}

\frac{d}{d x} (4 - 2 sin (2 x - \frac{π}{4}))

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