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How to prove the Continuity of f(x)=|x-2| at x=2. Continuity of Modulus function.
How to prove the Discontinuity of f(x)=sgn(x+|x|) at x=0. Discontinuity of Signum function.
Definite integrals _ Leibniz integral Rule.
Definite integrals involving modulus function (Part 89). f(x)=|cosx|
Limits _ RHL and LHL.Quotient of greatest Integer Function and Signum function. Existence of limits.
|| Domain of functions || Sum of Logarithmic function and inverse trigonometric function ||
|| Euler's Theorem on Homogeneous Functions in two variables || Partial Differentiation ||
Domain of functions _ Inverse cosine function _ Logarithmic function.
Definite integrals _ Leibniz integral formula _ Derivatives of integrals.
Functional Equations _ Trigonometric Functions _ Trigonometric identities.
|| Functional Equations _ Exponential function _ Find f(x) ||
Dirac Delta Function _ Three important conceptual problems based on derivative property.
Projection Formula- Three Dimensional Geometry# Projection of a vector.
Definite Integral of absolute value function (Part 27)
Definite integral of absolute value function (Part 47)
Definite Integral of absolute value function (Part26)
Definite Integral of absolute value function (Part 17)
Definite Integral of absolute value function ( Part 44)# mod function integration
Definite Integral of absolute value function ( Part 42)
Definite Integral of absolute value function (Part 33)
Derivative of absolute value function |Cosx-Sinx| at x= π/6 & x=π/3
Differential Equations - Transformation method to change the equation into variable separable form.
Continuity of functions|| A combination of greatest Integer Function and fractional part function||
How to find the number of diagonals of polygon having n- sides using permutations and combinations.
Limits involving fractional part function.
Derivatives - Implicit and Explicit Functions
Coplanar vectors- Condition of coplanarity of three vectors
|| How to evaluate integrals involving the derivatives of Dirac Delta Function ||
|| Dirac Delta Function _ Derivative property ||
Differentiability_How to find Right hand derivative and Left hand derivative of a function- GIF
|| Modulus function || Definite integrals ||
Definite integrals _ Modulus function
Definite Integral of Signum function Part (18)
Limits involving Signum function|Right Hand Limit|Left Hand Limit| Existence of limit of a function.
Definite Integral of absolute value function (Part 15).
Integration using Euler's integral of first kind.Beta function and gamma functions.
Lagrange Identity -Relation between cross product and scalar product of two vectors.
Derivative of modulus function. Trigonometric functions.
|| Critical points of a function ||
Dirac delta function integration(Part-3)
DISTANCE OF A POINT FROM A PLANE- DERIVATION OF VECTOR AND CARTESIAN FORM
How to find domain of functions _ Quotient of square root function and modulus function.
|| Integration || Modulus function || Trigonometric Function.
|| Definite integrals ||Modulus function || f(x)= | Sinx |
|| Integration || Modulus function || Trigonometric functions
Limits _ Greatest Integer Function _ Modulus function_ Right hand limits.
|| How to evaluate integrals involving derivatives of Dirac delta function ||
