What is the tangent of x+3/x ,\at x=2 ?

The tangent of x+3/x ,\at x=2 is y= 1/4 x+3

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tangent of x+3/x ,\at x=2

tangent of

x + \frac{3}{x}, at x = 2

y = \frac{1}{4} x + 3

Solution steps

Find the tangent point:

(2, \frac{7}{2})

Find the slope of

y = x + \frac{3}{x} : \frac{d y}{d x} = 1 - \frac{3}{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 = \frac{1}{4}

Find the line with slope m=

\frac{1}{4}

and passing through

(2, \frac{7}{2}) : y = \frac{1}{4} x + 3

y = \frac{1}{4} x + 3

What is the tangent of x+3/x ,\at x=2 ?
The tangent of x+3/x ,\at x=2 is y= 1/4 x+3