Thank you so much this helped a ton participated the most today after only one video. This took away so much stress and clarified so much. Thank you for doing this
dude, not everybody who is or may be asian wants to be called "asian" You don't just go up to David Copperfield and say "look at that white magician" Just call him magician. Jeezez
@Mr Magic Monkey And by comparing, you are indeed mentioning race. Not everybody wants to be compared. Especially when it involves race. Learn how to take into account of others feelings.
I like that he doesn't plot f and f' on the same coordinate plane as it is often done. It's a bad habit. Just imagine that x is time and y=f(x) is the location, then f' is the velocity. The units for the y-axis don't match!
Can someone explain why we would want to graph the derivative? Derivative is slope...why graph that when you can see the slope on the original function?
I am lost here. The original graph had two extrema, which implies that it is a cubic (third degree equation). So, the derivative should be quadratic (second degree) by the power rule. That was all correct but somewhere in there the extrema on the original function f(x) became equal to the extrema on f''(x). At the end of the video, there were three extrema on both the original function and its derivative function. Am I missing something?
Someone correct me if I'm wrong but is it because f(x) has an assymptote? Because if f(x) didn't have that assymptote, f'(x) wouldn't have that 3rd turning point and would continue to go down
because he had added onto the original function; At first there were two, then the derivative had one. He then added another graph onto it which makes it look like one whole graph when theyre seperate
Because there are three points of inflection ( aka a point on a function where the curve changes from being concave to convex, or vice versa.) which will result in three turning points for the derivative graph ( because at point of inflection, where the function concaves and then convexes, the tangent at these points on the function decreases and increases respectively) , whereas the turning points ( aka stationary points ) on the function will be the x- intercept on the derivative graph because at stationary points, dy/dx = 0
@Omar Doudar The only stupid person here is you. The degree of a derivate is one less than the degree of the original function; and, inflection points also depend on degree-a function of degree 3 has 2 turning points for example. Which means that, if we take a function with degree 4, it's derivative should have degree 3 and should have 3-1 turning points.
I'm starting to hate Pr's: one will explain something that the other didn't explain while leaving out something the other did. Why not just give a comprehensive explanation? Like for instance, how do you determine that the point in the middle of the decreasing portion of f is going to be our inflection point in the derivative? Are we just supposed to fly with that?
Good video. The only thing you have to correct is that the y-axis is not the f(x). The latter represents the values of the function, the former is the axis.
I swear, he is the best damn math teacher out there. Explains everything step by step and keeps everybody attentive.
You should be the most paid teacher in NSW
Rafi Ashraf he is..
BAYPALS relax
2:05 Changed my life. I was always confused about whether my sketch should be above or below the x-axis. Thank you so much sir.
3 years after
Are a Mathe genius now?
Yeah I had that ahaaaa moment too!
I have watched multiple videos and a 2 hour lecture on this and you explained it in minutes!! Thank you
Really understandable when you have an excellent pacient teacher explaining it! Thanks
I love how at the end they start going into a conversation about the ABC jingle.
SKdaGamer
I know right, that’s how you know a teacher is awesome
Thank you so much, out of all the other videos on this i found this to be the most helpful one!
Thank you so much this helped a ton participated the most today after only one video. This took away so much stress and clarified so much.
Thank you for doing this
best one out there, most clear USE THIS ONE GUYS! LETS GET THAT A+
Wow. Thank you so much!!!. I wish you were my maths teacher!
THANK U SM I WAS STRUGGLING SO HARD WITH THIS CONCEPT UNTILL NOW
thank you so much Asian Jimmy Neutron! You are the coolest.
Awwwe what a racist.
@@h0lynuggetz752 how
dude, not everybody who is or may be asian wants to be called "asian" You don't just go up to David Copperfield and say "look at that white magician" Just call him magician. Jeezez
@@Blink-ut7uh dude literally calls himself “asianguy” relax snowflake
@Mr Magic Monkey And by comparing, you are indeed mentioning race. Not everybody wants to be compared. Especially when it involves race. Learn how to take into account of others feelings.
Thank you very much, sir. This was a life saver
Good explanation. Thanks to you I feel ready to take my exam.
I like that he doesn't plot f and f' on the same coordinate plane as it is often done. It's a bad habit. Just imagine that x is time and y=f(x) is the location, then f' is the velocity. The units for the y-axis don't match!
minus zero
if this was on a test, would you expect a plane to draw on or should you draw all the axis as well as the function sketch?
Thanks Eddie.
Watched your Ted Talk a while back, and I have been consuming your math videoes since then. Keep it up man!
Really helps for my exam thanks :)
Thanks, was really clear and helped me understand this better .
Awesome explanation, thank you.
This makes so much more sense thank you
I'm subbing
My manz Eddie WOOOOO!
why the point of inflection is the sane position than de function original?
oof i wish you were my teacher in real life... this was super helpful thanks
This is in my test on Monday, omgggg thanks soo much !!!
hey its been six years how did that test go
7 years later I have a test on Monday
How was ur test
How did it go? We need to know!!!!!
damn when you think about it this guy probably got a whole job and either has a family or close to starting one now
Great help, thank you.
I was hoping for a 3 minute video when I searched the topic, but this one had Eddie Woo teaching so I had to click (and comment).
Can someone explain why we would want to graph the derivative? Derivative is slope...why graph that when you can see the slope on the original function?
thanks i needed this
doesn't a point of inflection on the function of x graph touch the x axis on the gradient graph ?
❣Love it.
This was on my SAC.
If I had found this this earlier, I could have passed my SAC
Cry more
@@ademhuseyin2698 im all g bro.
AMAZINGGG!!!
you are amazing.
cheers helped heaps for my revision
What if there are no stationary points?
You didn't explain how or why you arrived with the stationary point. That's the only part i was a little bit confused at.
eddie woo you genius
What is point of inflection? How do you find it? What does it do?
It's the Second derivate, used to tell us about Concavity and WHERE the graph changes shape
great lesson, thanks
He's so handsome but his hair is.. i will absolutely attend this class every day, even when I'm failing.
An Asian with an Aussie accent, very cool. Never seen that before lol
I've got it now!
at 2.54 why the point in f(x) is a stationary point?
if only you showed up on my feed last night
is a stationary point where a graph is at its peak?
Спасибо большой...
What is relation between tangent and rate of change
Thank you so much sir! ❤️ From india
I am lost here. The original graph had two extrema, which implies that it is a cubic (third degree equation). So, the derivative should be quadratic (second degree) by the power rule.
That was all correct but somewhere in there the extrema on the original function f(x) became equal to the extrema on f''(x).
At the end of the video, there were three extrema on both the original function and its derivative function.
Am I missing something?
Yes you do
What i want to know
Function and its graph are how related with each other percentage wise ??😜😜😜😜
thanks!!!
Thank you so much sir
Now I see it.
Really sorry, but what are infliction points?
Bro just got his pink slip in the middle of class and shooting a youtube video.
on some serious king shit - i won't fail my math exam now
Stg if he was my teacher I would be getting band 6s
It would be very helpful to have the equation of the curve you drew on the board.
Now im 10x more confused... why does the function and the derivitave BOTH HAVE 3 TURNING POINTS SHOULDNT THE DERIVATIVE HAVE ONE LESS AAAAGH
hunnid bands hunnid bands, contra bands contra bands
Someone correct me if I'm wrong but is it because f(x) has an assymptote? Because if f(x) didn't have that assymptote, f'(x) wouldn't have that 3rd turning point and would continue to go down
because he had added onto the original function; At first there were two, then the derivative had one. He then added another graph onto it which makes it look like one whole graph when theyre seperate
Because there are three points of inflection ( aka a point on a function where the curve changes from being concave to convex, or vice versa.) which will result in three turning points for the derivative graph ( because at point of inflection, where the function concaves and then convexes, the tangent at these points on the function decreases and increases respectively) , whereas the turning points ( aka stationary points ) on the function will be the x- intercept on the derivative graph because at stationary points, dy/dx = 0
@Omar Doudar The only stupid person here is you. The degree of a derivate is one less than the degree of the original function; and, inflection points also depend on degree-a function of degree 3 has 2 turning points for example. Which means that, if we take a function with degree 4, it's derivative should have degree 3 and should have 3-1 turning points.
POV: you're trying to do college online in 2020, but you need help.
Nice
Slightly in love with you rn. First exam tomorrow 😭😫. Pray for me. 🤙🏽
good luck hope it went well 4 years ago
min/max pts ---> x intercept
point pf inflection ---> min/max pt
y=0 remains
y=k ---> y=0
y= mx + k ---> y= m
I'm starting to hate Pr's: one will explain something that the other didn't explain while leaving out something the other did. Why not just give a comprehensive explanation? Like for instance, how do you determine that the point in the middle of the decreasing portion of f is going to be our inflection point in the derivative? Are we just supposed to fly with that?
I'm late to this, but it's an inflection point because of the change in concavity of f(x)! Hope this helps. :)
[12] 5. Sketch the graph of a function f such that ⚫f is continuous on (- ∞, ∞) and differentiable everywhere except 6
Please solve this
Up hea
The students are so active compared to here
Good video. The only thing you have to correct is that the y-axis is not the f(x). The latter represents the values of the function, the former is the axis.
Whose here after Mr Charles failed to explained it and told us to watch this.
Who said -0😂😂
fuuuaaaak
5:15 "minus...zero" lmao... it doesn't exist such a number
If we view minus zero to be the additive inverse of zero then it exists in the sense that it just equals zero.
Glory to Eddie Woo