What is the equation of the normal line

Braden Hatfield

Braden Hatfield

Answered question

2022-04-09

What is the equation of the normal line of f(x)=xx1 at x=4?

Answer & Explanation

awalkbyfaithbzu6

awalkbyfaithbzu6

Beginner2022-04-10Added 21 answers

f(x)=(x1)(x)(x1)2=1(x1)2
hence slope of normal is
(x1)2 by m1*m2=-1 ( tangent perpendicular to normal )
find value of y (or f(x)) x=4
y=43
and value of slope is 9
by 2 point form
y43=9(x4)
hence normal equation is:
3y-27x=-104 or 27x-3y=104

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