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}}

Compute the slope of

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

(1, e) : m = 0

Find the line with slope m=

0

and passing through

(1, e) : y = e

y = e

\frac{d}{d x} (\frac{x ^{2} - 6 x + 5}{x ^{2} + 7})

\int_{0}^{3} (3 x^{2} + x - 2) d x

y^{^{''}} - 4 y^{^{'}} + 4 y = 5 t^{- 1} e^{2 t}

\frac{d}{d x} (x^{e 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