Yeah, but you didn't explain HOW TO DRAW THE TANGENT LINE AT A GIVEN POINT.
@thetimelords9115 жыл бұрын
R U L E R
@elimiNator3454 жыл бұрын
The Timelords P I X E L S
@khuziwesithole67193 жыл бұрын
you can literally just use a ruler...
@Azeellea6 жыл бұрын
I get it, but its repetitive and I still don't understand how to apply it to an actual problem.
@fishx1580 Жыл бұрын
This video has provided valuable information regarding the use case of derivatives, which was not previously taught in our years of computation. I am grateful for this newfound understanding.
@rogeriorlima3 Жыл бұрын
Fantastic, thank you Derek
@nixixim5 жыл бұрын
how tf am i supposed to use this in a problem, you didnt expain the numerical method of using differential calculus
@TheTurkey726 жыл бұрын
I see what you're saying but how exactly do we move forward in order to actually find the slope of that line?
@forestbishop30414 жыл бұрын
Think of the curve made up of hundreds of thousands straight lines. The slope foubd is at 2 points so close together that it can be seen as a single point. Think of it being infinitely small.
@CADable Жыл бұрын
Perfect explanation specially related to Instantaneous change.
@skyline66485 жыл бұрын
So to find the instantaneous velocity we find the derivative of the given equation(curve) and plug in the given point into the derivative of said equation?
@derekowens5 жыл бұрын
Yes, assuming the given equation is the equation for position at any time. Finding the derivative and then plugging in the value for time is usually the most convenient approach.
@xalpacazeu13325 жыл бұрын
Derek Owens So it is the same way as finding instantaneous rate of change? Also formulas for average velocity and average rate of change are the same
@Александр-р3э3м3 жыл бұрын
OMG! This really helps! It seems to me I understood. Thanks for such a great explanation!
@trilokreddy93553 жыл бұрын
Thank you sir this video helped me lot in understanding this concept
@imperiusss7 жыл бұрын
thank you sir. Is there any site where we can watch all your videos in order?
@derekowens7 жыл бұрын
Many of the videos are indexed here: www.lucideducation.com/?p=VideoIndex.php I hope to get a more complete index put up at derekowens.com sometime soon, hopefully this summer.
@lifesimulator39646 жыл бұрын
imperiusss hentaihaven
@mattpearce43134 жыл бұрын
@@lifesimulator3964 thanks man!
@Mnzmanzmz4 жыл бұрын
some professors love to ask about the instantaneous velocity because it is more complicated than anything else.
@telepcanin28784 жыл бұрын
your method allows us to calculate instantaneous velocity without knowing the path graph formula by using two points on the tangent line, or am i seeing something that isn't here? Are we even allowed to Arbitrarily draw a tangent line?
@troycalliste63995 жыл бұрын
So basically an instantaneous velocity is just a smaller sample of average velocity? In that you’re just taking a portion( a very small point in time) but you can never be entirely accurate because you would be trying to find and infinitely small distance over an infinitely small time?
@adamdaif42464 жыл бұрын
Yep
@arththakkar26374 жыл бұрын
Incredible
@viola5815 жыл бұрын
It's taken me up until this video to understand this so thank you so much, you explained it incredibly well.
@theadel85916 жыл бұрын
Hello sir, if you want an assistant to help with translating into Arabic i would be happy to volunteer.
@cybersketcher11306 жыл бұрын
The Adel why Arabic
@kosmonavt51254 жыл бұрын
@@cybersketcher1130 because maybe people who speak arabic want to learn about this
@SahanaC_Sana_3 жыл бұрын
Thank you sooo much!
@nikolas.39407 жыл бұрын
Amazingly well explained. Now I understand both, derivatives and instantaneous velocity! (I was looking for explanation of instantaneous velocity since average is pretty straightforward)
@stewartgilligangriffin3362 жыл бұрын
I still cant figure out how to solve problems with instantaneous velocity equationss
@rajendramisir35305 жыл бұрын
Brilliant explanation of the difference between average velocity and instantaneous velocity.. I like how you showed that the slope of the secant line to the position function graph is the average velocity and the slope of the tangent line is the instantaneous velocity.
@aimonchaudry92607 жыл бұрын
Finally I understood Thank you so much sir
@mohamudahmed41667 жыл бұрын
Thank you sir. Because I know it now😣😄😅😙😚🤣😎😎😎😆😀😍😐🤗😣😑🙄😚😎🙂😊😎😊😍😚🙂
@yaboi-rx4eq6 жыл бұрын
lol
@cybersketcher11306 жыл бұрын
Mohamud Ahmed why the emojis
@xalpacazeu13325 жыл бұрын
Mohamud Ahmed mohammad is dead
@manibhood98876 жыл бұрын
THANKS A LOTS SIR.
@austincopeland27766 жыл бұрын
From my understanding so far: The Derivative is the formula that gives you the slope of the tangent line that intersects the graph at a single point, "x." This formula is found by simplifying the difference quotient of the function as h approaches 0 (dealing with limits). Once you've found this formula from analyzing the difference quotient, you can insert the x-value of the single point into the formula, which will yield the slope of the tangent line that touches the one point on the graph. That slope represents the instantaneous velocity of a single point. Since you now have the x and y coordinates, as well as the newly obtained slope of the tangent line, or simply the slope at that particular point, you can use the point-slope equation to find the equation of that tangent line. (If you needed to for homework) Is that about right?
@derekowens6 жыл бұрын
Yes, that is correct. In addition: Simplifying the difference quotient can be rather cumbersome, but there are various techniques for quickly and easily finding the derivative for various types of functions (the Power Rule, the Chain Rule, etc.)
@cybersketcher11306 жыл бұрын
Austin Copeland Gah! Words.
@akrutimishra24307 жыл бұрын
Sir you're amazing .
@horizonbrave15336 жыл бұрын
Wow...well said! You are really great at breaking this down!
@patakotisrinivas19185 жыл бұрын
thanks a lot for u r intutive and simple explaination which made me blissful...looking forward for more videos...
@summerliu39446 жыл бұрын
Thank you so much
@satantheprogenitor7 жыл бұрын
Thanks!
@PrinceKumar-wx1sk7 жыл бұрын
awesome
@siyonasingh54215 жыл бұрын
Thank you!
@rachelluneau41056 жыл бұрын
THANK YOU
@ritulpriyamishra25986 жыл бұрын
Thanku
@louis91167 жыл бұрын
Thank you for making these videos. Very helpful:)
@elmehdielmerrouni88422 жыл бұрын
million likes
@hollow111114 жыл бұрын
Bro wtf
@ZacZac-bb3pe6 жыл бұрын
I did not understand a thing. Useless.
@ZacZac-bb3pe6 жыл бұрын
I agree
@zarianvlok64136 жыл бұрын
Zac321 Zac321 faceplant*
@razorblake3936 жыл бұрын
I guess u don't have any idea about this topic.its really helpful if you know about it
@cassied93275 жыл бұрын
You might need to start with videos that explain other concepts leading up to this. Or watch multiple videos of the same concept from different people. You may find bits and pieces from each video that help the over all concept come together in your mind :)