What is the equation of the line that

Breanna Mcclure

Breanna Mcclure

Answered question


What is the equation of the line that is normal to f(x)=2x33x2+5 at x=1?

Answer & Explanation



Beginner2022-04-09Added 9 answers

The normal line is the vertical line through the point (1,4). Its equation is x=1
At x=1, we have y=4, so the line we want contains the point (1,4)
The tangent at that point has slope f'(1).
Since f(x)=6x26x, we get a slope of 0.
The tangent line is horizontal. The normal line is perpendicular to the tangent line, so the normal line is vertical.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?