find the two points on the curve

y=x^{4}-2x^{2}-x that have a common tangent line

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- Oct 10th 2012, 03:25 PMpnfullercommon tangent line?
find the two points on the curve

y=x^{4}-2x^{2}-x that have a common tangent line - Oct 10th 2012, 04:51 PMMaxJasperRe: common tangent line?
Try the two points:

x1=-1, x2=1

http://mathhelpforum.com/attachment....1&d=1349916630 - Oct 10th 2012, 04:54 PMpnfullerRe: common tangent line?
- Oct 10th 2012, 06:33 PMMarkFLRe: common tangent line?
The equation of the line to a function at is given in slope intercept form as:

Two lines are the same if they have the same slope and*y*-intercept. Using the points and will give you two equations and two unknowns, from which you can find two distinct points. - Oct 10th 2012, 07:01 PMx3bnmRe: common tangent line?
- Oct 11th 2012, 08:43 AMpnfullerRe: common tangent line?
- Oct 11th 2012, 09:09 PMhollywoodRe: common tangent line?
Maple is a program that does mathematical calculations. Here's a link:

Maple 16 by Maplesoft

- Hollywood