What is the normal of y= 1/x ,(2, 1/2) ?

The normal of y= 1/x ,(2, 1/2) is y=4x-15/2

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normal of y= 1/x ,(2, 1/2)

normal of

y = \frac{1}{x}, (2, \frac{1}{2})

y = 4 x - \frac{15}{2}

Solution steps

Find the slope of

y = \frac{1}{x} : \frac{d y}{d x} = - \frac{1}{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}

Compute the slope of the perpendicular line:

m_{p} = 4

Find the line with slope m=

4

and passing through

(2, \frac{1}{2}) : y = 4 x - \frac{15}{2}

y = 4 x - \frac{15}{2}

What is the normal of y= 1/x ,(2, 1/2) ?
The normal of y= 1/x ,(2, 1/2) is y=4x-15/2