What is the d/(dt)(-cot(t)) ?

The d/(dt)(-cot(t)) is csc^2(t)

What is the first d/(dt)(-cot(t)) ?

The first d/(dt)(-cot(t)) is csc^2(t)

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\frac{d}{d t} (- cot (t))

csc^{2} (t)

Solution steps

\frac{d}{d t} (- cot (t))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{d}{d t} (cot (t))

Apply the common derivative:

\frac{d}{d t} (cot (t)) = - csc^{2} (t)

= - (- csc^{2} (t))

Simplify

= csc^{2} (t)

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