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

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

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

tangent of

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

y = e

Solution steps

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 25 x^{2} + 4 d x

\int_{- l n (4)}^{0} 3 e^{x} d x

2 cos (x) + cos^{2} (x)

\int 9 x^{2} + 1 d x

\int \frac{1}{x ^{2} - 4 x - 12} d x

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