Finding local minimum maximum values of a function

This video focuses on how to find the local minimum maximum values of f(x) = 4x^3 - 4x^4. In this video, I show how to use the First Derivative Test to find the local extrema of a function.
The steps for solving the problem are:

1. Find the critical points of f(x).
2. Make a sign chart for f'
3. Classify the critical values using the First Derivative Test.

Your feedback and requests are encouraged and appreciated. Thank you all for watching and please subscribe if you like!

[KubraKawsar]

You are the best teacher I ever had. Thank you so much!❤️❤️❤️

[johnguillen]

Thank you so much for showing us this. I have a better understanding. Love your videos

[engrfahadd]

very clear very brief danke schon prof.

[huiyenlo]

at the time 2:59 can we plug in (-1) into the original function? Because it does not come out the same as plugging it into the equation that taken derivative ? Am I not supposed to do that?

[johnguillen]

Thank you again for the videos. I have a problem understanding Rolle's theorem on this equation: f(x)= sin (2x) on [0, pi] and the Local Extrema using the second derivative test: f(x)= x-2cos x, (0 less than X less than 2pi) I'm having trouble with these.

[bheeshmayo]

I reckon that while representing the increasing and decreasing intervals of function we must include critical points i.e, closed interval in both increasing as well as decreasing case .

Is it true ?

[shruthi]

what happens when f'(x) is a number....just a number..how do u find the extremas then?