John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Derivatives: Power Rule, Product Rule, Quotient Rule, And Chain Rule

dy/dx F(x)~=~f(a) +f`(a)(x-a) The notation dy/dx is a way to represent the derivative of a function ‘y’ with respect to the variable ‘x’. It is read as...

John Rhodes
June 21, 2023
Calculus

The Intermediate Value Theorem In Calculus: A Powerful Tool For Proving Solution Existence

Intermediate Value Theorem Used to estimate the derivative(F(x+h)-f(x))/h The Intermediate Value Theorem is a fundamental theorem in calculus that states that if a continuous function takes two...

John Rhodes
June 21, 2023
Calculus

Discover The Power Of The Extreme Value Theorem In Calculus And Real Analysis

Extreme Value Theorem To find inflection points1. Find the second derivative2. Set the second derivative equal to zero3. Solve for xOptional4. Plug in and solve for f(x)...

John Rhodes
June 21, 2023
Calculus

Mastering Linear Approximation: An Essential Tool For Calculus, Physics And Engineering.

Linear Approximation If f`is positive, then f(x) is increasingIf f` is negative, then f(x) is decreasing Linear Approximation is a method used in calculus to estimate the...

John Rhodes
June 21, 2023
Geometry

Congruent Line Segments In Geometry: Methods For Proving Congruence And Importance In Geometric Problem Solving.

Congruent Segments If two segments have the same length, then they are congruent. (Having the same size and shape.) Congruent segments are two or more line segments...

John Rhodes
June 21, 2023
Geometry

The Fundamentals Of Points In Geometry: A Comprehensive Guide

Point A location with no size or shape. A point is a basic geometric object that has no size, shape, or dimension. It is often represented by...

John Rhodes
June 21, 2023
Geometry

Lines: Their Properties, Equations, And Applications In Math, Engineering And Art

Line Made up of points with no thickness or width; Extends indefinitely in both directions. A line is a one-dimensional geometric figure. It is a straight path...

John Rhodes
June 21, 2023
Geometry

Line Segments In Geometry: Definition, Calculation, And Comparison

Line Segment A measurable part of a line consisting of two endpoints. A line segment is a part of a line that has two endpoints. It is...