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Category: rational and irrational numbers

rational numbers are the number that can be written in the form of p/q where p and q are integers and q not equal to zero

April 27, 2021May 20, 2022rational and irrational numbers

Chain rule of derivatives Theorem examples with solutions

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 […]

April 25, 2021March 10, 2022rational and irrational numbers

What is Conic Sections

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

April 25, 2021October 10, 2021rational and irrational numbers

Product Rule of Derivatives, Definition and Examples

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 […]

April 20, 2021May 20, 2022rational and irrational numbers

Lagrange Theorem Statment, Proof

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

April 15, 2021August 8, 2021rational and irrational numbers

Quadratic Formula Derivation, Examples:

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

April 6, 2021March 10, 2022rational and irrational numbers

Quadratic Equation definition, Examples

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 […]

January 27, 2021January 27, 2021rational and irrational numbers

Aristotelian and non Aristotelian logics

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

January 22, 2021July 31, 2021rational and irrational numbers

Field definition Math

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

January 12, 2021April 30, 2023Number System, Mathematics, rational and irrational numbers

What is a Rational Number:

 We know that a rational number is a number that can be written in the form of [katex]\frac{p}{q}[/katex] where p, q [katex]\in[/katex] […]

January 5, 2021September 1, 2022rational and irrational numbers

Set in Mathematics, Examples

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

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