Suppose ax3+bx2+cx+d = 0 (a≠0) be a cubic curve. We assume that (x1, y1) and (x2, y2) , (x1 < x2) are two distinct points on the curve at whcih two tangents coincide. Then by LMVT (Mean value theorm), there exists x3 ( x1
Prove that for a cubic function tangent lines at two distinct points will never coincide
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7 Answers
Tush Watts
·2009-09-11 08:38:33
Philip Calvert
·2009-09-11 08:48:41
actually,
x1, x2, x3 are not necessarily roots of the equation 3ax2 + 2bx + c =0
however you've probably got the correct idea to give such a prompt reply
Lets please wait for someone else to rectify the error
or if you want to edit your post anyway please hide the rectification.
Philip Calvert
·2009-09-12 00:42:48
[11] why did you delete everything :P
most of it was correct , 99% was correct infact
Philip Calvert
·2009-09-13 07:15:47
Coincide ?
Well i thought it meant that when two straight lines coincide then they are the same