What is the equation of the normal line

Annie Rice

Annie Rice

Answered question

2022-04-10

What is the equation of the normal line of f(x)=2x3+x22x1 at x=-2?

Answer & Explanation

prangijahnot

prangijahnot

Beginner2022-04-11Added 17 answers

Explanation:
First find the slope of the tangent line at the given point. It would be f' (-2).
Thus find f(x)=6x2+2x2f(2)=30
The slope of the normal would be 130
At x=-2, f(x) would be 16+4+4-1 =23. The given point is this (-2, 23)
Equation of the normal line, in point slope form would be
y23=130(x+2)

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