What is the tangent of f(x)=((e^x))/x ,\at x=1 ?

The tangent of f(x)=((e^x))/x ,\at x=1 is y=e

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tangent of f(x)=((e^x))/x ,\at x=1

tangent of

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

y = e

Solution steps

Find the tangent point:

(1, e)

Find the slope of

f (x) = \frac{e ^{x}}{x} : \frac{df ( x )}{d x} = \frac{e ^{x} x - e ^{x}}{x ^{2}}

Compute the slope of

f (x) = \frac{e ^{x}}{x}

x = 1 : m = 0

Find the line with slope m=

0

and passing through

(1, e) : y = e

y = e

(t^{3} e^{-, at})

x \to 3 - lim (\frac{∣ 3 + x ∣}{3 - x})

\frac{\partial}{\partial y} (e^{y} sin (x y))

\int \frac{9 x}{( 2 - x ^{2} ) ^{3}} d x

\frac{\partial}{\partial x} (x^{3} sin (x y))

What is the tangent of f(x)=((e^x))/x ,\at x=1 ?
The tangent of f(x)=((e^x))/x ,\at x=1 is y=e