What is the derivative of $(cot^(2)x)$ ?

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Answer 1 · 2015-12-18T02:41:03

$-2csc^2xcotx$

Treat $cot^2x$ like $u^2$ , where $u=cotx$ .

According to the chain rule,

$d/dx[u^2]=2u*u'$

Therefore,

$d/dx[cot^2x]=2cotx*d/dx[cotx]$

Know that $d/dx[cotx]=-csc^2x$

Thus,

$d/dx[cot^2x]=-2csc^2xcotx$

What is the derivative of (cot^(2)x) (cot^(2)x)?