How to determine if a function is continuous and differentiable

👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is continuous at every point in the domain.
A function is said to be continuous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is defined and is equal to the limit of the function. Otherwise the function is discontinuous.

Organized Videos:
✅The Derivative
✅Find the First and Second Derivatives of a Function
✅Find the Differentiability of a Function
✅Find the Derivative of Absolute Value Function
✅Find the Derivative of Exponential and Logarithmic Functions
✅Find the Derivative using Implicit Differentiation
✅Find the Derivative of Inverse Functions
✅Find the Point Where the Tagent Line is Horizontal
✅Write the Equation of the Tangent Line
✅Find the Derivative from a Table
✅Chain Rule Differentiation
✅Product Rule Derivatives
✅Find the Derivative of Trigonometric Functions
✅Find the Derivative using the Power Rule
✅Quotient Rule Derivatives
✅Solve Related Rates Problems

Connect with me:

#derivatives #brianmclogan

[noautoaidan]

This video showed nothing about determining why a function is actually differentiable!

[ani]

What the title has to say, and what the video delivered are not in sync. Please do not clickbait viewers and waste time. The example taken simply shows that it cannot be differentiable. But what about a point that could be? I came for that, seen by the title of the video.

[nic]

If a function is differentiable, then it is continuous. However, the converse of that statement may not necessarily be true. Hence, proving differentiability through continuity is not right mathematically.

[abdullahnh]

Not really happy. Because it shows that the function is not continuous and hence not differentiable. But you didn't show how to find whether a continuous function is differentiable or not, which is the most important part.

[kaileykeisler]

I wish you were my teacher because mine can learn a thing or two from you themselves.

[chooaj]

What's wrong with these ppl keep on complaining? There is something you can learn from the video. From this example, I am now understand more on the relation between the continuity and differentiability. Thank you.

[euclidofkekistan]

Consider the following function
F(x) = { -x^5 for x<= 0 ; x^3 +1 for x>0 }
This function is discontinuous at x=0 but it has a continuous derivative everywhere.

[zephyr]

Well this is the internet for you, disrespectful comments. If it didn't answer your question fine but this info is free and insults aren't needed

[bozo]

Say it is continuous, that doesn’t automatically mean it’s differentiable right? And if so then how do you find out whether or not it’s differentiable

[ntebi]

He started by saying: "we have to show this function is continuous for it to be differentiable". Unless he's talking about the whole domain, a function' continuous over an interval doesn't imply its differentiability over that interval. Only the converse is true.

[rodolfo]

Could you please do a video on how to find the derivative of a graph of a function without having the function??? I would really need this video!!

[jyothishkk]

I'm here directly from Google search and still I didn't get what I expected

[Jessica-hlmo]

A function can be continuous such as one with a cusp and still not differentiable just fyw in the beginning of the video was a bad intro

[cezarblack]

Brian would never clickbait no one lmfao
Stop with the nitpickin wars😂
And study🎉
❤

[vishnuvigneshwaran]

Sir can you help me on this -The function f / R -> R given by f(x) = - |x - 1| is

[cezarblack]

Folks just watch the video lol and stop fighting lol😂😂😂😂

[worldvines]

sorry brian is this video complete or is there another one coz no man the video and the title are not going hand in hand with each other

[vinaykumarhs]

I Have a Question (more like there are situation where c can be continuous but not differentiate, Then the only Situation I can Guess for Differentiable is to be true is ALWAYS a straight line(a Linear Function, No other Polynomial function), do we have another example

[Parmarraunak]

I think that differentiability is very hard but with your help it's too easy thanks for this video

[shohailaamil]

May I if there is no equal it is neither continuous nor differential.