SigmaDefinition of Differentiable Differentiable means: the function has derivative the derivative f’(x) must exist for every value in the function’s domain Examples The use of differentiable function When a function is differentiable, we can use all the power of calculus when working with it. When a function is differentiable, it is continuous. Differentiable ⇒ Continuous
Definition In mathematics, interval is a set of real numbers with the property that any number that lies between 2 numbers in the set is also included in the set. For example, the set of all numbers x satisfying 3 ≤ x ≤ 5 is an interval which contains 3, 5, and all numbers between them. Interval: all
Definitions Factors are numbers we multiply together to get another number. When we find the factors of two or more numbers, and then find some factors are the same (common), they are the common factors. Factors of two (or more) numbers have in common are called the common factors of those numbers. Example Learn More Greatest Common
Definition of Parallelogram Parallelogram is a two-dimensional shape that has parallel sides each other. The parallel sides are equals in length. Parallelogram is also a quadrilateral because it has four sides. The angles are same in the opposite. The sum of adjacent angles is 180° (supplementary angles). Sum of α + β = 180° Area of a Parallelogram
Definition Integration by Substitution (also called “The Reverse Chain Rule” or “u-Substitution” ) is a method to find an integral, but only when it can be set up in a special way. It is an important method in mathematics. Integration by substitution is the counterpart to the chain rule for differentiation. When it is possible to perform
Data is defined as the facts & collected for the analysis purpose. Data is divided into qualitative data (descriptive) & quantitative data. The qualitative data cannot be measured in terms of numbers. On the other hand, quantitative data is one that contains numerical values and uses range. It is divided into discrete data & continuous data. Discrete data
Definition of Function Injective A function f is injective if and only if whenever f(x) = f(y), x = y. Surjective f is surjective if and only if f(A) = B A function f (from set A to B) is surjective if and only if for every y in B, there is at least one x in A such that f(x) = y Bijective
What is Completing the Square Completing the square is one of method to solve quadratic form. Base concept that used in this method are: (a+b)2 = a2 + 2ab +b2 (a-b)2 = a2 – 2ab +b2 Sometimes, if quadratic form cannot be solved (can be solve hardly) by factorization method, it can use completing the square method. It is
Thomas Bayes named a theory about conditional probability. He was British mathematician in 18th century. The theorem is Bayes’ Theorem. Bayes’ theorem is used in statistics, medicine and pharmacology, finance, etc. Definition of Bayes’ Theorem Bayes’ theorem is a probability theorem when we have known another probability before. If the probability of blue ball outcomes is
An Obtuse Angle is more than 90° but less than 180° Examples More Examples of obtuse angles Which is Obtuse Angle? Remember to look carefully at which angle you are being asked to name. The obtuse angle is the smaller angle. It is more than 90° and less than 180°. The larger angle is a