What is the equation of the line normal

Rubi Riggs

Rubi Riggs

Answered question

2022-04-10

What is the equation of the line normal to f(x)=2xx2 at x=0?

Answer & Explanation

stecchiniror7

stecchiniror7

Beginner2022-04-11Added 14 answers

I'll start by finding the slope of the line normal to f(x) at x=0.
The line normal to f(x) will be perpendicular to the line tangent to f(x), which will have a slope of f'(x).
Therefore, the slope of the line normal to f(x) will be 1/f'(x)
1f(x)=122x
Based on this the slope of the line normal to f(x) at x = 0, will be
1220=12
We know that f(x) passes through the point (0, f(0))=(0,0) at x=0, so our line normal to f(x) at x = 0 is:
y=12x

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