What is the equation of the line normal

Kendal Day

Kendal Day

Answered question

2022-04-09

What is the equation of the line normal to f(x)=x2x2 at x=2?

Answer & Explanation

veselrompoikm

veselrompoikm

Beginner2022-04-10Added 12 answers

Explanation:
f(x)=x2x2 at x=2 we get y=f(2)=0
f'(x)=2x-1, so the slope of the tangent at (2,0) is f'(2)=3
Therefore the slope of the normal line is 13. And the equation of the line through
(2,0) with slope 13 is y=13x+23.

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