7:01 "Concave upwards is like a 'U', concave downwards is like uh...uh,I guess uh,uh, uh... An upside down 'U'!" Haha... Thank you so much for the great videos!
great explanation, I think this would be even clearer if the graph was annotated with the the values of dy/dx ie showing the values increasing of decreasing if you dont mind me saying
Concave upwards - (Thumb up) - the U shape (glass) can be filled with beer increasing slope (fun) Concave downwards - (Thumb down) - the U shape (glass) cannot be filled with beer decreasing slope (fun)
Thanks for the video!! So helpful But i 've got a question, so is it true or false that if f "(x) = 0 at x=c, then c is a point of concavity? If false why?
yeah, khan academy makes studying more efficient AND you actually understand the content rather than just memorization at khan academy. I'm replying 9 years later XD
+Doofan Udendeh @brandon singh What Brandon said is correct..don't be confused here...when you draw a straight line joining the two points of the curve, and then when the curve is below that line, then it is convex... E.g. f(x,y)= xy is a convex curve..check it..
i know this is a late reply. just for ur own sake.. when he said x increasing around 3:50.. he meant that when its concave up the slope increases, because when you move from left to right the (x) increases. for instance -1 is higher than -4 or -5... so going from -4 to 1 "the x increases".
