Newton’s Divided Difference Interpolation Formula
Interpolation is an estimation of a value within two known values in a sequence of values. Newton’s divided difference interpolation formula is a interpolation technique used when the interval difference is not…
Mean, Variance and Standard Deviation
Where μ is Mean, N is the total number of elements or frequency of distribution. Standard Deviation is square root of variance. It is a measure of the extent to which…
Indefinite Integrals
Antiderivative – · Defination :A function ∅(x) is called the antiderivative (or an integral) of a function f(x) of ∅(x)’ = f(x). · Example : x4/4 is an antiderivative of x3 because (x4/4)’ = x3. · In…
Inverse functions and composition of functions
Inverse Functions – In mathematics a function, a, is said to be an inverse of another, b, if given the output of b a returns the input value given to…
Unimodal functions and Bimodal functions
Unimodal Function : A function f(x) is said to be unimodal function if for some value m it is monotonically increasing for x≤m and monotonically decreasing for x≥m. For function…
Lagrange’s Mean Value Theorem
1) f(x) is continuous in the closed interval a ≤ x ≤ b 2) f(x) is differentiable in the open interval a < x < b Then according to Lagrange’s Theorem, there exists at least…
Mathematics | Limits, Continuity and Differentiability
1. Limits – For a function the limit of the function at a point is the value the function achieves at a point which is very close to . Formally,Let be a function defined…
Brackets and factorization
When two or more terms in an algebraic expression contain a common factor, then this factor can be shown outside of a bracket. For example
