What is the tangent of e^{6x} ?

The tangent of e^{6x} is y=e^{6a_{0}}*6x+e^{6a_{0}}-e^{6a_{0}}*6a_{0}

Popular >

tangent of e^{6x}

tangent of

e^{6 x}

y = e^{6 a_{0}} \cdot 6 x + e^{6 a_{0}} - e^{6 a_{0}} \cdot 6 a_{0}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, e^{6 a_{0}})

Find the slope of

y = e^{6 x} : \frac{d y}{d x} = e^{6 x} \cdot 6

Compute the slope of

y = e^{6 x}

x = a_{0} : m = e^{6 a_{0}} \cdot 6

Find the line with slope m=

e^{6 a_{0}} 6

and passing through

(a_{0}, e^{6 a_{0}}) : y = e^{6 a_{0}} \cdot 6 x + e^{6 a_{0}} - e^{6 a_{0}} \cdot 6 a_{0}

y = e^{6 a_{0}} \cdot 6 x + e^{6 a_{0}} - e^{6 a_{0}} \cdot 6 a_{0}

\frac{x + 9}{x}

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

(- 4, 0), (1, - 5)

f (x) = \frac{1}{2} x^{2}, at x = - 1

4 e^{3 t}

What is the tangent of e^{6x} ?
The tangent of e^{6x} is y=e^{6a_{0}}*6x+e^{6a_{0}}-e^{6a_{0}}*6a_{0}