Differentiable
Definition 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 … Continue reading "Differentiable"
Read MoreIntervals
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 … Continue reading "Intervals"
Read MoreCommon Factor
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 … Continue reading "Common Factor"
Read MoreIntegration by Substitution (Reverse Chain Rule)
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. Examples f(x) dx u du Substitution Integral of ∫ f(u) du Integral of ∫ f(x) dx ∫ (x+1)3 dx x+1 1 dx ∫ u3 du ∫ … Continue reading "Integration by Substitution (Reverse Chain Rule)"
Read MoreDiscrete and Continuous Data
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 … Continue reading "Discrete and Continuous Data"
Read MoreInjective, Surjective & Bijective
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 … Continue reading "Injective, Surjective & Bijective"
Read MoreObtuse Angles
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 … Continue reading "Obtuse Angles"
Read MoreFactorial !
The factorial function (using symbol: !) says to multiply all whole numbers from our chosen number down to 1. So n! (read “n factorial”) means n × (n-1) × (n-2) × … × 3 × 2 × 1 Calculating Factorial From the Previous Value We can easily calculate a factorial from the previous one: n n! n … Continue reading "Factorial !"
Read MoreTable of Factors and Multiples
Table of Factors Table of Factors for 1 to 100 (not including negatives) Number Factors 1 1 2 1, 2 3 1, 3 4 1, 2, 4 5 1, 5 6 1, 2, 3, 6 7 1, 7 8 1, 2, 4, 8 9 1, 3, 9 10 1, 2, 5, 10 11 1, 11 … Continue reading "Table of Factors and Multiples"
Read MoreIntegration
Definition Integration is used to find areas, volumes, central points and often is used to find the area underneath the graph of a function. Common Functions of Integration Function Integral Constant ∫ a dx ax + c Variable ∫ x dx Square ∫ x2 dx Reciprocal ∫ (1/x) dx ln|x| + c Exponential ∫ … Continue reading "Integration"
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