What is the tangent of e^{-2t} ?

The tangent of e^{-2t} is y=-2e^{-2a_{0}}t+e^{-2a_{0}}+2a_{0}e^{-2a_{0}}

Popular >

tangent of e^{-2t}

tangent of

e^{- 2 t}

y = - 2 e^{- 2 a_{0}} t + e^{- 2 a_{0}} + 2 a_{0} e^{- 2 a_{0}}

Solution steps

Compute the tangent line to the general point

t = a_{0}

Find the tangent point:

(a_{0}, e^{- 2 a_{0}})

Find the slope of

y = e^{- 2 t} : \frac{d y}{d t} = - 2 e^{- 2 t}

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = - 2 e^{- 2 a_{0}}

Find the line with slope m=

- 2 e^{- 2 a_{0}}

and passing through

(a_{0}, e^{- 2 a_{0}}) : y = - 2 e^{- 2 a_{0}} t + e^{- 2 a_{0}} + 2 a_{0} e^{- 2 a_{0}}

y = - 2 e^{- 2 a_{0}} t + e^{- 2 a_{0}} + 2 a_{0} e^{- 2 a_{0}}

\frac{d}{d x} (\frac{5}{x + 4})

\int - 4 e^{- 2 x} d x

\int_{0}^{1} 3 x^{2} + 1 d x

2 + 7 t

y^{^{'}} + 2 x^{5} y = \frac{x ^{5}}{y ^{2}}

What is the tangent of e^{-2t} ?
The tangent of e^{-2t} is y=-2e^{-2a_{0}}t+e^{-2a_{0}}+2a_{0}e^{-2a_{0}}