What is the equation of the normal line

Malik Dean

Malik Dean

Answered question

2022-04-08

What is the equation of the normal line of f(x)=x25x+1 at x=5?

Answer & Explanation

chabinka61jx

chabinka61jx

Beginner2022-04-09Added 12 answers

Explanation:
Find the slope of the tangent line at the point (5,1) using the derivative. Then, write the equation of the line with a perpendicular slope at the point (5,1).
Remember that ddx[axn]=naxn1, where a is a constant.
f'(x)=2x-5
f'(5)=5
Therefore, if the slope of the tangent line at x=5 is 5, therefore, if the slope of the tangent line at 15.
Write in point-slope form: y1=15(x5)
In slope-intercept form: y=15x+2

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?