What is the equation of the normal line

Hallie Watts

Hallie Watts

Answered question

2022-04-09

What is the equation of the normal line of f(x)=2x3+18x225x at x=13?

Answer & Explanation

libertydragonrbha

libertydragonrbha

Beginner2022-04-10Added 15 answers

Explanation:
I took diferential both sides,
f(x)=6x2+36x25
f(13)=231225=1133
Hence I found slope of normal line: 3113
I found a point, which passes from it:
f(13)=227+189+253=28127
Thus,
y28127=3113(x+13)
y28127=3113x1113
y=3113x+317263051

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