Category: rational and irrational numbers

Chain rule is defined as: The composition [katex]fog[/katex] of function [katex]f[/katex] and [katex]g[/katex] is the function whose value [katex]f[g(x)][/katex] are found for […]

Conic sections or simply conics are the curves obtained by cutting a (double) right circular cone by a plane. Let [katex]RS[/katex] be […]

Product Rule of Derivatives:If [katex]f[/katex] and [katex]g[/katex] are differentiable at [katex]x[/katex], then [katex]f_g[/katex] is also differentiable at [katex]x[/katex] and [katex]\lbrack f(x)g(x)\rbrack’=f(x)g'(x)+f'(x)g(x)[/katex]. [katex]i.e,\;\;\;\;\;\frac […]

Lagrange Theorem Statement: Both the order and Index of a subgroup of a finite group divide the order of a group. Lagrange […]

Quadratic Formula Derivation: Again there are some quadratic polynomials that are not factorable at all using integral coefficients. In such a case […]

Quadratic Equation definition: A quadratic equation in [katex]x[/katex] is an equation that can be written in the form of [katex]a\;x^2-bx+c=0\;\;\;\;\;\;\;\;\;\;\;\;\;;a,\;b,\;c [/katex] are […]

For reasoning we have to use propositions. A declarative statement which may be trueor false but not both is called a proposition. […]

Field definition math: A set S is called a field if the operations of addition ‘+ ’ and multiplication ‘. ’ on […]

A collection of well-defined and distinct objects is called a set in mathematics. Well-defined collection means we can whether the object belongs […]