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drrakeshkumartripathi#IITMathematicsClass12#CONTINUITY and DIFFERENTIABILITY CONTINUITY LECTURE-1|MOST ...

The tangent space of Euclidean space (or of an open set in Euclidean space) at a point is a vector space of the same dimension ...

This video explains what it means for a function to be differentiable and how this is based on local linearity. This video is part of ...

Discussion based on the book “Calculus” by Soo T.Tan, a prescribed Text for Second Semester B.Sc Mathematics Students ...

An alternative (seemingly weaker) definition of a differentiable/C^r manifold is given. With this definition, it is easier to see why ...

Let f and g be two differentiable functins such that: `f (x)=g '(1) sin x+ (g'' (2) -1) x` `g (x) = x^(2) -f'((pi)/(2)) x+ f'(-(pi)/(2))` The ...

The determinant of a square matrix is defined as a multi-linear form. This is a review of a concept from linear algebra. This is part ...

EASY TRICKS -CLASS 12 (BOARD EXAMS) FOR CBSE/IGCSE/IBDP/JEE MAINS & ADVANCED MATHS/SAT LEVEL 1 & 2/AP ...

Finding extreme values using the first derivative test. For more math, subscribe to my channel: ...

... and differentiability are essential here for the mean value theorem to be correct so before we move on to an example there's two ...

I just realized I used that song before in a previous video! I gotta be more original... :-)

By watching this video, you will be familiar with problems in exponential and logarithmic functions.

This video gives the students a clear understanding on CONTINUITY & DIFFERENTIABILITY (XII – CH-5)

A submanifold of a larger manifold has a tangent space that is a vector subspace of the tangent space of the larger manifold at ...

Find the greatest and least values of a function. For more math, subscribe to my channel: https://www.youtube.com/jeffsuzuki1.

This video explains what l'Hôpital's rule is and shows several examples of using it to compute indeterminate forms of limits This ...

An orientation on a vector space is a choice of an equivalence class of ordered bases where two ordered bases are equivalent iff ...

... do zero plus over zero minus this always cancels out just to be negative one and it goes the other way around two if you'd have ...

If `f (x)=|||x|-2|+p|` have more than 3 points non-derivability then the value of p can be :

Left & right continuity | | Continuity at endpoints | | continuity on an interval Hi, my name is Happy Sharma. I welcome you again on ...

Find the derivatives of the following functions : `(sqrt(x)+1)/(sqrt(x)-1)`

Verify tht `y=e^(x)` cos bx is a solution of the differential equation `(d^(2)y)/(dx^(2))-2(dy)/(dx)+2y=0.`

Examine the following functioins for continuity : (a) f(x) = x-5 (b) `f(x)=1/(x-5), x ne 5` ( c) `f(x) = (x^2-25)/(x+5) , x ne -5` (d) `f(x) ...

Fixed points are defined using equalizers (from category theory). Finding the fixed points of certain functions can be done by the ...

In this video, we'll solve two problems where we find the limit of functins from first principle. Through these problems, we'll learn ...