Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Identifying Relative or Local Maximums of Functions: A Guide to Finding Critical Points and Analyzing Function Behavior

Relative or Local maximum at which it changes from increasing to decreasing A relative or local maximum refers to a point on a graph of a function...

John Rhodes
June 21, 2023
Calculus

Mastering the First and Second Derivative Test for Finding Relative Minimum in Math Functions

Relative or Local minimum at which it changes from decreasing to increasing A relative (or local) minimum is a point on a function where the value of...

John Rhodes
June 21, 2023
Calculus

Mastering Calculus: Understanding Critical Numbers and Their Significance

Critical Number Critical numbers tell you the points where the graph of a function changes direction In calculus, a critical number is a point on the graph...

John Rhodes
June 21, 2023
Calculus

Discover the Power of Rolle’s Theorem: Exploring the Proof and Applications.

Rolle’s Theorem if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b),...

John Rhodes
June 21, 2023
Calculus

Understanding Removable Discontinuity in Functions: Definition, Example, and Notation

Removable Discontinuity also known as holes (common factor in numerator and denominator) A removable discontinuity, also known as a removable singularity, is a type of discontinuity that...

John Rhodes
June 21, 2023
Calculus

Understanding Jump Discontinuity: Definition, Examples, and Applications in Mathematics and Physics.

Jump Discontinuity occurs when function has 2 ends that don’t meet even if hole is filled in (often piecewise functions) Jump discontinuity is a type of discontinuity...

John Rhodes
June 21, 2023
Calculus

Understanding Infinite Discontinuity in Mathematics: Explained with Examples

Infinite Discontinuity occurs when a function has a vertical asymptote on one or both sides of an x-value An infinite discontinuity occurs when the limit of a...

John Rhodes
June 21, 2023
Calculus

Understanding Continuous Functions: Definition, Types, and Importance in Mathematics and Science

Continuous function never have to lift my pencil A continuous function is a mathematical function that has no sharp jumps or breaks in its graph. That is,...