Prove

Prove that for a cubic function tangent lines at two distinct points will never coincide

7 Answers

11
Tush Watts ·

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

1
Philip Calvert ·

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.

1
Philip Calvert ·

[11] why did you delete everything :P

most of it was correct , 99% was correct infact

11
Tush Watts ·

No I didn't
just HIDE

341
Hari Shankar ·

what does it mean to coincide?

1
Philip Calvert ·

Coincide ?
Well i thought it meant that when two straight lines coincide then they are the same

3
msp ·

i think it is not possible for the function y=x3

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