Draw the Function given Graph of Derivative

If you are given the graph of a derivative, can you draw the original function? After this video, YES.

[TheCoolest]

Finally a video that's not with a straight line as the derivative -_-

[danzho]

Great video, thank you. So basically, if youre quiz asks "what intervals is f(x) is conacave up/down" and they give you a graph of f'(x), just remember that when f'(x) has a negative slope, f(x) is concave down; when it is positive, then f(x) is concave up.

[anny]

Guys he did it right, just stated it wrongly :) The original function is -cosine x so the derivative is sinx

[anavallejo]

wow this was very helpful, it was very difficult for me to understand this (idk why probably i was making it very complicated in head) after watching this i did got more of a clear understanding (still having troubles, but i manage to pass) thank u a lot this really help :)

[justkennedy]

I would say be careful saying "decreasing" when you really mean negative. The first derivative test is based on negative and positives. The increasing and decreasing is related to the 2nd derivative. Other than that, good video.

[nictio]

A version with the 2nd derivative would be nice

[agomezful]

OMG. You don't know how much this video helped me. Thank you

[jcrs]

He is correct:
The Original function is -cosx
- d/dx[cosx] = - (-sinx)= sinx ✔️✔️

[danielleserra]

Thank you for this video! Have a Calc Exam tomorrow

[jessicachan]

THUS HELPED A LOT! MY EXAM IS IN 2 HOURS! Wish me luck.

[STUDY-xy]

Im confused on why you started in the negative y-axis for the last graph. Since the slope of y' is positive at the beginning shouldn't you start the graph on a positive y value instead of a negative one?

[saskiayland]

"aboot" literally my favorite accent

[yongkim]

Actually u can't find the function as there would be infinite solutions... U just know general shape of the curve 😅

[survivalgamer]

that difference in cos(x) has arose due to addition of any constant c bcoz when constant is added to some function it shifts towards right dude

[colesteinmetz]

Just finished my AP calc ab exam reviewing everything I forgot lol

[lisamurphy]

Misusing the term "inflection" in first example.

[elifderbentli]

Wait I have a question isn't the minimum in the first function also an inflection point?

[DanT-iuoc]

this shit is so fucking hard. harder than formal defn of a limit.

[azipage]

it is not clear for me, sir, you skip many steps for some reason, please fix it

[survivalgamer]

here f'(x)=sin x so f(x)=cos x not -cos x