What is the tangent of y=x+2/x ,(2,3) ?

The tangent of y=x+2/x ,(2,3) is y= 1/2 x+2

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tangent of y=x+2/x ,(2,3)

tangent of

y = x + \frac{2}{x}, (2, 3)

y = \frac{1}{2} x + 2

Solution steps

Find the slope of

y = x + \frac{2}{x} : \frac{d y}{d x} = 1 - \frac{2}{x ^{2}}

Compute the slope of

y = x + \frac{2}{x}

(2, 3) : m = \frac{1}{2}

Find the line with slope m=

\frac{1}{2}

and passing through

(2, 3) : y = \frac{1}{2} x + 2

y = \frac{1}{2} x + 2

\int t^{4} e^{- t^{5}} d t

\frac{d ^{2}}{d x ^{2}} (- e^{- x^{2}})

\frac{\partial}{\partial x} (A x + B y + C x^{2} y)

5 t^{2}

x \to - 6 - lim (\frac{∣ x + 6 ∣}{x + 6})

What is the tangent of y=x+2/x ,(2,3) ?
The tangent of y=x+2/x ,(2,3) is y= 1/2 x+2