What is the d/(dt)((cos(t))/(-sin(t))) ?

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

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

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

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\frac{d}{d t} (\frac{cos ( t )}{- sin ( t )})

csc^{2} (t)

Solution steps

\frac{d}{d t} (\frac{cos ( t )}{- sin ( t )})

Simplify

\frac{cos ( t )}{- sin ( t )} : - cot (t)

= \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)

\frac{d}{d x} (- e^{- x})

\frac{1}{1 - 2 x}, 0

\frac{d y}{d x} = 5 y + 3

f (x) = (4 x^{5} - 5 x^{4})

\int - \frac{1}{1 - x ^{2}} d x

What is the d/(dt)((cos(t))/(-sin(t))) ?
The d/(dt)((cos(t))/(-sin(t))) is csc^2(t)
What is the first d/(dt)((cos(t))/(-sin(t))) ?
The first d/(dt)((cos(t))/(-sin(t))) is csc^2(t)