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

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

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

tangent of

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

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 = 0

Find the line with slope m=

0

and passing through

(1, e) : y = e

y = e

\int (9 x - 6)^{2} d x

- x e^{x}

y^{2} = x + 4, y^{2} = 2 - x

\int \frac{9 w ^{8} - 5 w ^{5} + 3 w ^{2} - 16}{8 w ^{4}} d w

\int - 5 x^{- 8} d x

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