Question

How would you draw the second derivative?

Answer 1

you mean given a graph?

Answer 2

well, I mean you're given some curve and you want to draw it somehow. I'm OK with the first derivative, finding the point, then drawing a secant line which becomes nearly tangent line when delta x gets smaller, but the second derivative ...? :D

Answer 3

I know one of the easiest things you can spot is the inflection point...just can't really remember how to do it.

Answer 4

f'' is perpendicular to f'
at least in parametric equations

Answer 5

it would help if you had an actual example

Answer 6

you basically do the same thing you did with the f(x)=>f'(x) graph, only with the f'(x)=>f''(x)... in general terms.

Answer 7

if
\[f(x)=x^2\] a parabola, then
\[f'(x)=2x\] a line and
\[f''(x)=2\] a constant