What is the tangent of y=x+6/x ,(3,5) ?

The tangent of y=x+6/x ,(3,5) is y= 1/3 x+4

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tangent of y=x+6/x ,(3,5)

tangent of

y = x + \frac{6}{x}, (3, 5)

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

Solution steps

Find the slope of

y = x + \frac{6}{x} : \frac{d y}{d x} = 1 - \frac{6}{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}{3}

Find the line with slope m=

\frac{1}{3}

and passing through

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

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

What is the tangent of y=x+6/x ,(3,5) ?
The tangent of y=x+6/x ,(3,5) is y= 1/3 x+4