Derivative of arcotgx

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acot(a)*n*x

$$x n \operatorname{acot}{\left(a \right)}$$

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Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Apply the power rule: $x$ goes to $1$
So, the result is: $n \operatorname{acot}{\left(a \right)}$
Now simplify:

$n \operatorname{acot}{\left(a \right)}$

The answer is:

$n \operatorname{acot}{\left(a \right)}$

The first derivative [src]

acot(a)*n

$$n \operatorname{acot}{\left(a \right)}$$

Simplify

The second derivative [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify