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))

Apply the common derivative:

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

= - csc^{2} (t)

\frac{d}{d x} (x arctan (2 x))

x \to 0 - lim (x csc (x))

\frac{d ^{2}}{d x ^{2}} (cos (- 2 x))

\frac{d}{d x} (cos (x^{2} + π))

g (t) = 2^{t}

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)