How do you find the derivative of cot x?

Zachariah Ferrell

Zachariah Ferrell

Answered question

2023-03-17

How to find the derivative of cot x ?

Answer & Explanation

Tripp Roberson

Tripp Roberson

Beginner2023-03-18Added 6 answers

Solution:
y = cot x
y = 1 tan x
y = 1 sin x cos x
y = cos x sin x
Thus,
Letting y = g ( x ) h ( x ) , we have that g ( x ) = cos x and h ( x ) = sin x
y = g ( x ) × h ( x ) - g ( x ) × h ( x ) ( h ( x ) ) 2
y = - sin x × sin x - ( cos x × cos x ) ( sin x ) 2
y = - sin 2 x - cos 2 x ( sin x ) 2
y = - ( sin 2 x + cos 2 x ) sin 2 x
y = - 1 sin 2 x
y = - csc 2 x

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