Multivariable Calculus….

Generalization of Partial derivative and Concept of the directional derivative.

See the above guy…….

Derivability doesn’t imply continuity in higher dimensional functions….

Isn’t it really weird..!!!!

Then we need to fix this kind of weirdness……. And we have to make something for higher dimensional functions like the 1 dimensional function…. Herein comes the concept of total Differentiability….

Note that n dimensional function meaning that function with n dimensional domain and 1 dimensional range……

Now see below the concept of total Differentiability….

Now we r in a very firm establishment of differentialbility… We can checkout some examples of the total Differentiability.

VIZ.Differential Calculus. ..

This is the book….

One thing is correct that like 1d function we have no means to express the the total derivative but the differential…. But that total derivative form will be given by the Jaccobian… Later It may be given!!!!!

Note…..!!!!!!!!!