What is the tangent of f(x)=x+2/x ,\at x=2 ?

The tangent of f(x)=x+2/x ,\at x=2 is y= 1/2 x+2

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tangent of f(x)=x+2/x ,\at x=2

tangent of

f (x) = x + \frac{2}{x}, at x = 2

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

Solution steps

Find the tangent point:

(2, 3)

Find the slope of

f (x) = x + \frac{2}{x} : \frac{df ( x )}{d x} = 1 - \frac{2}{x ^{2}}

Compute the slope of

f (x) = x + \frac{2}{x}

x = 2 : 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 \frac{50}{x ^{0.25}} d x

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

\int_{0}^{6} π (3 x)^{2} d x

\int \frac{( ln ( u ) ) ^{8}}{u} d u

\frac{d y}{d x} = \frac{e ^{3 x} + 3 x y + y}{x}

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