What is the tangent of 3e^{-7x} ?

The tangent of 3e^{-7x} is y=-21e^{-7a_{0}}x+3e^{-7a_{0}}+21a_{0}e^{-7a_{0}}

Popular >

tangent of 3e^{-7x}

tangent of

3 e^{- 7 x}

y = - 21 e^{- 7 a_{0}} x + 3 e^{- 7 a_{0}} + 21 a_{0} e^{- 7 a_{0}}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, 3 e^{- 7 a_{0}})

Find the slope of

y = 3 e^{- 7 x} : \frac{d y}{d x} = - 21 e^{- 7 x}

Compute the slope of

y = 3 e^{- 7 x}

x = a_{0} : m = - 21 e^{- 7 a_{0}}

Find the line with slope m=

- 21 e^{- 7 a_{0}}

and passing through

(a_{0}, 3 e^{- 7 a_{0}}) : y = - 21 e^{- 7 a_{0}} x + 3 e^{- 7 a_{0}} + 21 a_{0} e^{- 7 a_{0}}

y = - 21 e^{- 7 a_{0}} x + 3 e^{- 7 a_{0}} + 21 a_{0} e^{- 7 a_{0}}

x \to - \infty lim (3 - x)

\frac{4}{2 s ^{2} + 2 s + 1}

y = e^{4} x^{2} + 1

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

\int x^{- \frac{1}{2}} (x^{2} - x + 2) d x

What is the tangent of 3e^{-7x} ?
The tangent of 3e^{-7x} is y=-21e^{-7a_{0}}x+3e^{-7a_{0}}+21a_{0}e^{-7a_{0}}