All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math > Calculus
Two slopes out of three (Posted on 2020-09-18) Difficulty: 3 of 5
Suppose a cubic polynomial f(x) has three real roots a, b, and c which are not all equal.

Given the slopes of the tangent lines at two of these roots, find the slope of the third.

In other words, if f'(a)=p and f'(b)=q (where p and q are not both 0), find a formula for f'(c) in terms of p and q.

No Solution Yet Submitted by Jer    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionLarry2020-09-22 07:48:35
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information