What is the equation of the normal line

Marshall Wolf

Marshall Wolf

Answered question


What is the equation of the normal line of f(x)=x2 at x=5?

Answer & Explanation



Beginner2022-04-08Added 9 answers

The normal line is the line perpendicular to the tangent line. Then, the steps are as follows:
Find the slope mtangent of tangent line
-Find the first derivative of the function
-Evaluate the first derivative at the desired point
Find the slope mnorm of the normal line
-Let mnorm=-1mtangent
Find the line with slope mnorm passing through the given point
-Using point-slope form: (y-y1)=mnorm(x-x1)
Let's go through the process.
f(x)=d dx x2=2x
Substituting, we get the equation of the normal line.

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