What is the slope of the line normal

Neveah Stewart

Neveah Stewart

Answered question

2022-03-14

What is the slope of the line normal to the tangent line of f(x)=2x4x1 at x=2?

Answer & Explanation

Kayla Fitzgerald

Kayla Fitzgerald

Beginner2022-03-15Added 4 answers

Start by finding the y-coordinate of the point of tangency.
f(2)=2(2)421
f(2)=4-4
f(2)=0
Find the derivative of f(x).
f(x)=242x1
f(x)=22x1
Now find the slope of the tangent.
f(2)=2221=221=0
The normal line is perpendicular to the tangent line. The slope of 0 of the tangent
line means the line will be y=a, where a is a constant. Then the line perpendicular
to this will be of the form x=b, where the slope is undefined.

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