The graph of y = f (x) is shown below on the domain [0, 5]. Sketch the graph of y = f ′′(x) on the same domain.

Question

canada907cat · Answer

attachment

canada907cat · Answer

@zepdrix

satellite73 · Answer

probably a line

satellite73 · Answer

this looks like a cubic
the first derivative would be a quadratic
the second derivative would be a line

canada907cat · Answer

So what would that look like? @satellite73

zepdrix · Answer

Upload a picture or something :P
I don't want to download your dirty virus filled pdf file XD lol

canada907cat · Answer

Lol okay let me attempt to do that.

canada907cat · Answer

attachment

canada907cat · Answer

I am not sure how to make it look bigger.

satellite73 · Answer

cubic with positive leading coefficient 
first derivative is a parabola
where $f$ is increasing $f'$ is positive, then where $f$ is deceasing, $f'$ is negative, then $f'$ is positive again
draw a  nice parabola for that one

satellite73 · Answer

btw is it clear than "positive" is a synonym for "above the x axis"?

canada907cat · Answer

Okay so would it start from 3 and up from there? Sorry Im am not good at explaining this.

satellite73 · Answer

the zeros of your parabola will be the local max and min of your function, namely 1 and 3

zepdrix · Answer

|dw:1475194331176:dw|We have an inflection point somewhere around here, the graph changes from CCD to CCU. So our second derivative will be zero at this location.