Concavity and Second Derivatives – Examples of using the second derivative to determine where a function is concave up or concave down. For more free videos, visit PatrickJMT.com Austin Math Tutor, Austin Math Tutoring, Austin Algebra Tutor, Austin Calculus Tutor
Learn more: www.khanacademy.org More on partial derivatives
Video Rating: 4 / 5
makes me so happy when i understand this stuff! ahah. i use your vids every day for calc & feel like i should thank you in every vid i use! so thanks
Patrick Jones is Legend-wait for it- daaaaaaaaaary!
But ya missed something in your video for once :O. It`s okay, we are all human anyways.
I always wondered how you are so good at inhibiting feelings of impulse when you explain really obvious stuff on your videos, which you can probably do in a flash (if ya were not teaching of course). Obviously, this cautious approach is part of what makes you the best out there.
But it seems that not even Patrick is immune to the pressure of time!
You have really helped me out so much! Thank you so much for making these videos!
Amazing
My teacher “I do math in pen cause I don’t make mistakes”
Me “Well PatrickJMT does his math in permanent marker because he ACTUALLY doesn’t make mistakes”
what is with the car alarm in the background. someone should do something about it.
You are a lifesaver! I am currently enrolled in an online calculus class and there is NO lecture. I just can’t get these concepts without seeing and hearing someone explain it. I’ve lots watched of videos, and yours are some of the best. I’m telling the rest of my class about you.
I love you -3 :’)))
I swear, you are the best tutor in the world. Not even exaggerating over here !!!! May God continue to bless you and increase you in knowledge,
if at a point, the function changes concavity, it is an inflection point
Where do you talk about inflection points?
Maybe I am asking a stupid question, but what do I do if I have an equation like f(x)=-2x²+6x-4 and the second derivative is f”(x)= -4. How do I procede to find out the concavity? Thank you so much
Damn car alarm
i hate commercials
Hey Patrick…at about 2:15 in this video you talk about finding critical points by setting the 1st derivative = 0 but what you do is set the 2nd derivative = 0. Critical pts are found by setting the 1st =0. Could you check this and see if correction is needed… thanks. I;ve watched a number of your videos and they are quite helpful…
You’re
Patrick your the man. Khan gives you the intuition and you give me the application.
Perfect.
spread the word about the videos
wait, this is my professor was trying to say…. wish i had seen this channel mid semester. thanks
pretty sure i already have
Hey i have the biggest request to ask, could you make a video showing how to graph graph f’(x) and f”(x) from a given graph of f(x) and vise versa.
Patrick , your videos are very useful but sometimes you use quite lenghty methods ,for example in integration by part you use this method Integral ( udv = uv – integral vdu )
instead of using this formula , this one is easy. Integral ( uvdu =u integral v – integral d/dx u “multiply” integral v ) i think this is easy for integration by parts.
He factored out 6(x^2-1) from both since they both have it in common. Since from the first side it’s a square, so u have one (x^2-1) left when u factor one (x^2-1) out;
god bless your beautiful mind, saved my ass too..
If both the partial derivatives have the same value.i.e., they have the same slope at the same point….shouldn’t the tangent lines be the same i.e coincident??
Awesome tutorial i couldnt grasp this for a while in lectures!
these videos are great
very good
What do you mean???
What happened to 10:25???
So awesome
ok. so to my very limited understanding of calculus, the term dx means differential of x, or the infinitesimally small difference of x. what does the partial differential of x mean? is my question even valid?
ugh haven’t taken cal 2 yet but got the waiver to take physical chemistry (basically intro to thermodynamics). this should help a lot. thanks sir! i haven’t looked but you should also make videos about integrating calculus to physics concepts. the merger as an idea is still only an infant in my mind.
lol i imagine his desk….
a stack or 1-2 tb hard drives!
btw you didnt sound like you are melting this time when you rotated the graph…
new pc?
how can .3 squared be 0.9 ? … That does not make sense. 0.3 x 0.3 = 0.09
i’m not familiar with the education programme in the us, that’s why i was wondering if it was included in the basic school programme or what?
Well done! Really important stuff and outstanding explanation!
You talk kind of like John Mayer
Thank you a lot! You are a great person
reminds me of black and white version “Related Rates” problem.
how is calculus so easy for u?!
WHAT´s THE LINK to plot???
Quick question:
Instead of taking a partial derivative, and relying on that, couldn’t you just take a tangent plane? Or is that what would happen if you used y as a variable, and not a constant. Just a thought.
love it. not just like it
How can I do the partial derivative where i found the equation that passes through (0,0,0) and (x,y,z) or in my case (w,n,x)
i think he meant y could be 5 or pi or wtever LOL
“I’ll do it in magenta.”
You are the man!
“This cos(y) could be 5, or pi or whatever XD
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good!!…