Implicit Function | Differential Calculus

So far, we have treated relations of the form y = f (x). Examples of such relations are;
y= 3x- 2x+ 1, y=1+ x, In any of these relations, y is said to be expressed explicitly in tems of x. The derivative of y with respect to x can be found from the rules of differentiation which have been discussed in the previous units. Sometimes, the relationship between y and x may not be expressed explicitly. For example, consider x²y + xy² +3x = 0. Here, the relation between y and x is not expressed explicitly. The relationship between y and x is said to be implicit. In differentiating x²y+ xy² + 3x = 0, y is treated as if it is a function of x and the rules of differentiation are applied in the appropriate manner. The process of #differentiating #implicit #functions is called implicit differentiation.

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[Kingress_]

OMG you made it so simple. I'm grateful for this. Thank you so much. I really appreciate you.

[nasileleblessed]

simple and to the point. thankyou very much

[iraborephraim]

You deserve a million likes.
Thanks for your brilliance ❤❤❤

[sekinatajibola]

Thanks for making this concept easier for me

[ogbonnaamos]

This is an amazing insight to implicit differentiation... We're blessed to have you Sir

[AmodingJoyce]

Oh, thanks sir I have been disterbed by those equations I really appreciate your work😀😀😀😀

[girumgumara]

thank you very much to this great Explaination i am Ethiopian

[boydmwansa]

You and esomnofu are the reasons why am doing math at the University you always inspire me ❤❤❤❤🎉

[ONAHANDSON]

Thanks a lot. Mine is just an observation. Where you have 2yy', I thought it should just be 2y. That's from the function x²y+y²+4x=1

[e.sundaydavid]

amazed at the second method you used..thank you sir 👏

[destined]

thank you! i like how you made the explanation simple

[deborahmonday]

Plz sir 🙏 teach
Limit of function in Calculus

[olawale]

Pls does the formula at the end of the video works for xy + x - 2y - 1 = 0

[violamwangi]

Hii sir can you do a lesson on functions and types of functions
Everything concerned to functions please
And also limits