Understanding Differentiation Part 2: Rates of Change

Differentiation and integration are the two main operations in calculus. We just discussed one way to interpret differentiation by finding the equation for a tangent line. Let's look at one other way to interpret differentiation, by discussing the rate of change in the position of an object, or its velocity. As it turns out these two approaches are really the same thing, so let's see how this works!

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[ericfricke]

"Any fool can make something complicated. It takes a genius to make it simple."

[lakshminarayanacr]

Now I understanding the concept of differentation...your teaching style is superb

[achillestheheel]

Makes me feel smart when I understand this stuff! 😂 Great series, Professer!

[kiraf.]

This series is exactly what I needed thanks!

[EleneDB]

You’re probably the best teacher in the unicerse! Thank you, I understand iit so clear!

[umahin]

By the way nice videos and just to let you know. I have completed my engineering 6 years ago but calculus of intermediate level is fun at next level. I am brushing my concepts again.
Keep up the good work professor.
Thanks

[Kiky_MedPhysicist]

Thank you sir for your dedication and for making this free!

[herambsharma]

Really he knows lot about everything he is a master teacher giving free lectures to us he is so kind.😊

[monke]

This is strangely easy.. I don't know what is waiting for us in the next videos. But I'm still excited!

[yogeshwaranp]

Sir, please make a video to "Find a radius of curvature and center of curvature using differentiation method"

[ellabelot]

He helped me so much in all subjects 😅

[cocoh]

I write notes majorly depend on you. Just like the Taylor series that depends on a function.

[gaminisiriwardana]

excellent way of explaining. I got amazed with your explanation and did lot of calculus sums. Sir I will be sending very special 4 questions through email to you. Please be kind enough to reply. Interestingly waiting for your explanation . Thanks

[umahin]

At 1.59 I believe it should be displacement as velocity is vector quantity.

[queenskennedy]

I need to watch it many times to cristalize in my mind, 😁😂

[matthewphares]

Average speed
= distance travel/time

Average velocity
= change in position/time

If you travel on X axis from say 50m to 20m then your position changed by negative 30m thus your average velocity is negative, but average speed is positive (you traveled 30m). Also if you travel over the same length more than once your average speed can be more than average velocity for a given time interval.

[natu.d]

Me: "God! doing all of this is a hustle for sure!"
Derivatives: "Don't worry my child"

[fernandoportal]

Why did you use 0.1s in the denominator? Edited it's because the denominator should change alongside the nominator

[redreg]

@1:15 where does 4.9t^2 come from? Why 4.9 and why squared?

[tuomasmanninen-dmww]

If its instantaneus why is it divided by seconds?