What is the tangent of y=x+3/x ,(3,4) ?

The tangent of y=x+3/x ,(3,4) is y= 2/3 x+2

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tangent of y=x+3/x ,(3,4)

tangent of

y = x + \frac{3}{x}, (3, 4)

y = \frac{2}{3} x + 2

Solution steps

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{2}{3}

Find the line with slope m=

\frac{2}{3}

and passing through

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

y = \frac{2}{3} x + 2

\frac{\partial}{\partial y} (- x y sin (x) + 2 y cos (x))

\frac{d y}{d x} = \frac{( 1 + y )}{x}

(0.2) (1.5)

x \to 0 lim (\frac{2}{3 x ^{\frac{1}{3}}})

x

What is the tangent of y=x+3/x ,(3,4) ?
The tangent of y=x+3/x ,(3,4) is y= 2/3 x+2