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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{2}

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

\frac{\partial}{\partial x} (8 y - (x + y)^{3})

\frac{d}{d x} (5 cos^{2} (π x))

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

f (1) = - x^{2} + 6 x - 3

\int \frac{1}{4 x ^{2} - 1} d x

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