Derivative of $$$\cot{\left(x \right)}$$$
Related calculators: Logarithmic Differentiation Calculator, Implicit Differentiation Calculator with Steps
Your Input
Find $$$\frac{d}{dx} \left(\cot{\left(x \right)}\right)$$$.
Solution
The derivative of the cotangent is $$$\frac{d}{dx} \left(\cot{\left(x \right)}\right) = - \csc^{2}{\left(x \right)}$$$:
$${\color{red}\left(\frac{d}{dx} \left(\cot{\left(x \right)}\right)\right)} = {\color{red}\left(- \csc^{2}{\left(x \right)}\right)}$$Thus, $$$\frac{d}{dx} \left(\cot{\left(x \right)}\right) = - \csc^{2}{\left(x \right)}$$$.
Answer
$$$\frac{d}{dx} \left(\cot{\left(x \right)}\right) = - \csc^{2}{\left(x \right)}$$$A