Prove that for a cubic function tangent lines at two distinct points will never coincide
11Suppose 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
1actually,
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[11] why did you delete everything :P
most of it was correct , 99% was correct infact
1Coincide ?
Well i thought it meant that when two straight lines coincide then they are the same
