Can anything be said about the graph of a function that has a 2nd derivative that is always equal to zero. Please give reason(s) for your answer.

Question

anonymous · Answer

If the second derivative is always 0, then the first derivative must always be a constant. If the first derivative is a constant then the function must be a line (the slope of the line never changes).

anonymous · Answer

Does that make sense?

anonymous · Answer

yes

anonymous · Answer

thx

anonymous · Answer

the function is "linear" as polpak just said.

amistre64 · Answer

the function would be a horizontal line right?

amistre64 · Answer

y = 4

y'=0

anonymous · Answer

not necessarily

amistre64 · Answer

are we talking about the value for y'?  or y' itself?

anonymous · Answer

y'' = 0, Therefore y' = C, therefore y = Cx

amistre64 · Answer

ahhh.... y''  these old eyes cant see that much anynore :)