What is the tangent of y= 6/x ,\at x=2 ?

The tangent of y= 6/x ,\at x=2 is y=-3/2 x+6

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tangent of y= 6/x ,\at x=2

tangent of

y = \frac{6}{x}, at x = 2

y = - \frac{3}{2} x + 6

Solution steps

Find the tangent point:

(2, 3)

Find the slope of

y = \frac{6}{x} : \frac{d y}{d x} = - \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{3}{2}

Find the line with slope m=

- \frac{3}{2}

and passing through

(2, 3) : y = - \frac{3}{2} x + 6

y = - \frac{3}{2} x + 6

What is the tangent of y= 6/x ,\at x=2 ?
The tangent of y= 6/x ,\at x=2 is y=-3/2 x+6