en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of y=2cot(t)-e^{-t}

Solution

derivative of

y = 2 cot (t) - e^{- t}

Solution

- 2 csc^{2} (t) + e^{- t}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d t} (e^{- t}) = - e^{- t}

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

Simplify

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

Popular Examples

integral of ((1+sqrt(x))^3)/(sqrt(x))

\int \frac{( 1 + x ) ^{3}}{x} d x

y^'=tan(t)y-5t,y(0)=3

y^{^{'}} = tan (t) y - 5 t, y (0) = 3

(dy)/(dx)=(e^{7x})/(4y^3)

\frac{d y}{d x} = \frac{e ^{7 x}}{4 y ^{3}}

(\partial)/(\partial x)(x^{1/3}*y^{2/3})

\frac{\partial}{\partial x} (x^{\frac{1}{3}} \cdot y^{\frac{2}{3}})

derivative of y=(ln(x))^4 derivative of

y = (ln (x))^{4}

Frequently Asked Questions (FAQ)

What is the derivative of y=2cot(t)-e^{-t} ?
The derivative of y=2cot(t)-e^{-t} is -2csc^2(t)+e^{-t}
What is the first derivative of y=2cot(t)-e^{-t} ?
The first derivative of y=2cot(t)-e^{-t} is -2csc^2(t)+e^{-t}