Derivative of cot x
-csc^2 x
The derivative of cot x can be found by using the quotient rule of differentiation.
We know that cot x = cos x/sin x.
Using the quotient rule, we get:
(d/dx) (cos x/sin x) = [(sin x)(-sin x) – (cos x)(cos x)] / (sin x)^2
Simplifying the numerator, we get:
-dx/dx = -1
Therefore, the derivative of cot x is -csc^2 x.
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