What is the normal of y=(sqrt(x))/(x+6),(4,0.2) ?

The normal of y=(sqrt(x))/(x+6),(4,0.2) is y=-200x+800.2

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normal of y=(sqrt(x))/(x+6),(4,0.2)

normal

y = - 200 x + 800.2

Solution steps

Find the slope of

y = \frac{x}{x + 6} : \frac{d y}{d x} = \frac{- x + 6}{2 x ( x + 6 ) ^{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}{200}

Compute the slope of the perpendicular line:

m_{p} = - 200

Find the line with slope m=

- 200

and passing through

(4, 0.2) : y = - 200 x + 800.2

y = - 200 x + 800.2

What is the normal of y=(sqrt(x))/(x+6),(4,0.2) ?
The normal of y=(sqrt(x))/(x+6),(4,0.2) is y=-200x+800.2