Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Maximize Function Values With The Closed Interval Method: A Guide To Find Absolute Extrema On Closed Intervals

closed interval method (for finding absolute extrema on [a,b] 1. evaluate f at each critical point2. evaluate the endpoints, f(a) and f(b)3. the largest value is the...

John Rhodes
June 21, 2023
Calculus

Master The Art Of Calculus: How To Identify Extremums With First And Second Derivatives

for extrema, you plug the critical points back into f(x), but to find out if it is increasing or decreasing, you plug the critical points into f'(x)...

John Rhodes
June 21, 2023
Calculus

Master The First Derivative Test: How To Identify Extrema Points Of A Function

first derivative test states that if c is a critical point of f, and f is continuous and differentiable on an open interval containing c (except possible...

John Rhodes
June 21, 2023
Calculus

Unlocking The Mysteries Of The Square Root Function: Properties And Applications

Square Root Function f(x) = √x The square root function is a mathematical function that takes a non-negative real number as input and returns its square root...

John Rhodes
June 21, 2023
Calculus

Mastering Cubic Functions: Graph Shapes And Solving For Roots

Cubic Function f(x) = x^3 A cubic function is a type of function with the highest degree of three. The general form of a cubic function is:...

John Rhodes
June 21, 2023
Calculus

The Power Of The Greatest Integer Function In Mathematics: Properties And Applications

Greatest Integer Function f(x) = [x] The greatest integer function, also known as the floor function, maps the real numbers to the largest integer less than or...

John Rhodes
June 21, 2023
Calculus

Mastering Rational Functions: Properties, Graphing, And Simplification Techniques

Rational Function f(x) = 1/x A rational function is a type of mathematical function that ratios two polynomial functions. It takes the general form of f(x) =...

John Rhodes
June 21, 2023
Calculus

The Identity Function In Mathematics And Computer Science

Identity Function f(x) = x The identity function is a mathematical function that returns the same value that is supplied as input to it. In other words,...