(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hi guys, need some help finding the common tangent of two curves.

Two curves y = 3X^{3}+6X^{2}+6X+3 and y = 3X^{3}+6X+3 touch each other. Find the common tangent.

2. Relevant equations

y = 3X^{3}+6X^{2}+6X+3 and y = 3X^{3}+6X+3

3. The attempt at a solution

well i made the two equations equal each other and then i found the X values. After that i subbed the values in the the original equations to get my y values. My points ended up being

(0,3) and (-1,0)

is the correct? what do i do after this?

First time with calculus so not sure what to do.

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# Finding the common tangent?

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