John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 25, 2023
Calculus

Understanding the Derivative: Calculus’ Key Concept for Analyzing Rates of Change and Optimization Problems

derivative slope of the tangent line The derivative is a fundamental concept in calculus that measures the rate at which a function is changing at a particular...

John Rhodes
July 25, 2023
Calculus

Finding the Absolute Maximum: Step-by-Step Guide to Identifying the Largest Value of a Function within a Given Interval

absolute max the largest y-value of the function, over the given interval (use x-values where first derivative = 0 & endpoints) In mathematics, the term “absolute maximum”...

John Rhodes
July 25, 2023
Calculus

Finding the Absolute Minimum of a Function: Step-by-Step Guide and Tips

absolute min the smallest y-value of the function, over the given interval (use x-values where first derivative = 0 & endpoints) The absolute minimum of a function...

John Rhodes
July 25, 2023
Calculus

Exploring Relative Maxima: Understanding the Highest Local Values of Functions in Mathematics

Relative maximum Where first derivative = 0 & second derivative is negative In mathematics, a relative maximum refers to the highest value that a function reaches within...

John Rhodes
July 25, 2023
Calculus

Understanding Relative Minimums in Mathematics: Definition, Identification, and Characteristics

Relative minimum Where first derivative = 0 & second derivative is positive In mathematics, a relative minimum refers to a point on the graph of a function...

John Rhodes
July 25, 2023
Calculus

Understanding Critical Points: How to Find and Analyze Them in Mathematics

critical point A point in which the derivative is zero or undefined In mathematics, a critical point of a function refers to a point where the derivative...

John Rhodes
July 25, 2023
Calculus

Understanding Points of Inflection: Exploring Critical Points on Curves and Functions where Concavity Changes

point of inflection the point where the graph changes concavity A point of inflection in mathematics refers to a type of critical point on a curve or...

John Rhodes
July 25, 2023
Geometry

Calculating the Centroid: A Fundamental Concept in Geometry for Balance and Stability

centriod medians and congruent sides The centroid of a geometric shape, such as a triangle or a polygon, is the point that corresponds to the average position...