What is the d/(dt)((csc^2(t))/(-cot(t)(csc(t)))) ?

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

What is the first d/(dt)((csc^2(t))/(-cot(t)(csc(t)))) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

- sec (t) tan (t)

Solution steps

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

Simplify

\frac{csc ^{2} ( t )}{- cot ( t ) ( csc ( t ) )} : - sec (t)

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

Take the constant out:

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

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

Apply the common derivative:

\frac{d}{d t} (sec (t)) = sec (t) tan (t)

= - sec (t) tan (t)

What is the d/(dt)((csc^2(t))/(-cot(t)(csc(t)))) ?
The d/(dt)((csc^2(t))/(-cot(t)(csc(t)))) is -sec(t)tan(t)
What is the first d/(dt)((csc^2(t))/(-cot(t)(csc(t)))) ?
The first d/(dt)((csc^2(t))/(-cot(t)(csc(t)))) is -sec(t)tan(t)