Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

The Difference Quotient: An Alternate Definition Of Derivative In Calculus Mathematics.

Alternate Definition of Derivative limit (as x approaches a number c)=f(x)-f(c)/x-c x≠c An alternate definition of the derivative of a function f(x) is in terms of the...

John Rhodes
June 21, 2023
Calculus

Continuity Rules In Calculus: A Fundamental Concept For Functions

Continuity Rule A function is continuous at x = c if: (1) f(c) is defined (2) lim f(x) (x goes to c) exists (3) lim f(x) (x...

John Rhodes
June 21, 2023
Calculus

Mastering The Chain Rule: Derivatives Of Composite Functions Explained With Example Of F(X)^N

Chain rule of f(x)^n n(f(x)^(n-1))f'(x) The chain rule is a fundamental rule in calculus that allows us to find the derivative of a composite function. If we...

John Rhodes
June 21, 2023
Calculus

The Product Rule In Calculus: How To Find The Derivative Of A Product Of Two Functions

Product rule of f(x)g(x) f'(x)g(x)+g'(x)f(x) The product rule is a fundamental rule in calculus that allows us to find the derivative of a product of two functions....

John Rhodes
June 21, 2023
Algebra

The Absolute Value Function: Definition, Properties, And Applications In Mathematics

absolute value The distance between a real number and zero on a number line. The absolute value of a real number x, denoted by |x|, is defined...

John Rhodes
June 21, 2023
Algebra

Additive Inverses: Definition And Applications In Algebra, Calculus, And Linear Algebra

additive inverse The opposite of a number. When added together, the sum is zero. The additive inverse of a number a is the number that, when added...

John Rhodes
June 21, 2023
Algebra

Mastering Algebraic Expressions: Understanding, Evaluating, Simplifying, And Applying

algebraic expression A collection of numbers and variables with at least one arithmetic operation. An algebraic expression is a combination of variables, constants, and mathematical operations such...

John Rhodes
June 21, 2023
Algebra

The Associative Property Of Binary Operations In Math

associative property The grouping of terms within expressions involving addition or multiplication does not change the value. Ex: (a+b) + c = a + (b+c) Associative property...