Prove that `d/(dx) (cot(x)) = -csc^2(x)`

kspcr111 | Student

`d/(dx) (cot(x))`

`=d/(dx) (cos(x)/sin(x))`

`= ( ((cosx *(d/(dx) sin x)) -((d/(dx) cos x * sinx)))/(sin^2 x)`

`= (-cos^2 x -sin^2 x)/(sin^2 x)`

`= - 1/(sin^2 x)`

`= -csc^2(x)`

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