What is the equation of the line normal

Malachi Mullins

Malachi Mullins

Answered question


What is the equation of the line normal to f(x)=x2(x2) at x=2?

Answer & Explanation



Beginner2022-04-09Added 12 answers

First find f(x)=3x24x. This represents the slope of any tangent line to f(x). At x=2, the slope of the tangent line would be 12-8=4. The slope of the normal at the same point would be 14.
At x=2, f(x)=0. Hence the normal at this point (2,0) would be y0=14(x2)
On simplification it is y=14(x2) in the point slope form.

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