What is the equation of the line normal

Kasey Castillo

Kasey Castillo

Answered question

2022-04-10

What is the equation of the line normal to f(x)=3x212x5 at x=1?

Answer & Explanation

Egerlandsq0z

Egerlandsq0z

Beginner2022-04-11Added 14 answers

Explanation:
The normal is a line at right angles to the tangent.
First we need to calculate the df(1)dx hence we have that
f(x)=6x12f(1)=6
So the normal will have a gradient of m(6)=1m=16
hence at point (1, f(1)) or (1, -14) the equation is
y=mx+ky=16x+k
replacing the value of point (1, f(1)) we get
14=16+kk=1416k=856

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