John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Geometry

Exploring the Profound Implications of Einstein’s Postulate 8 on the Speed of Light and Spacetime Continuum

Postulate 8 If two points are in a plane, then the line that contains the points is in that plane. Postulate 8 is one of the eight...

John Rhodes
June 21, 2023
Geometry

Law of Electromagnetic Induction: Applications and Significance

postulate 9 If two planes intersect, then their intersection is a line. Postulate 9 is also known as the Law of Electromagnetic Induction, which states that a...

John Rhodes
June 21, 2023
Geometry

Understanding Theorem 2: Significance, Applicability and Limitations in Mathematics

Theorem 2 Through a line and a point not in the line there is exactly one plane Without knowing the specific context of Theorem 2, it is...

John Rhodes
June 21, 2023
Calculus

Mastering Calculus: Understanding the Limit Definition of Derivative

Limit Definition of Derivative limit (as h approaches 0)= F(x+h)-F(x)/h The limit definition of derivative is a mathematical equation that describes the slope of a curve at...

John Rhodes
June 21, 2023
Calculus

Discover the Power of Derivatives in Measuring Rates of Change in Mathematics

Alternate Definition of Derivative limit (as x approaches a number c)=f(x)-f(c)/x-c x≠c In mathematics, the derivative of a function can be defined in a number of ways....

John Rhodes
June 21, 2023
Calculus

Understanding the Continuity Rule in Calculus: Ensuring Smooth and Continuous Function Graphs.

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

Master the Power Rule: Learn How to Derive the Formula for the Derivative of x^n with Respect to x

d/dx (x^n) nx^n-1 (power rule) The derivative of x^n with respect to x is nx^(n-1). This can be proven using the power rule of differentiation, which states...

John Rhodes
June 21, 2023
Calculus

Discover the Derivative of Sin(x) with Step-by-Step Guide

d/dx(sinx) cosx The derivative of sin(x) with respect to x is cosine(x). We can prove this using the chain rule. The derivative of sin(x) can be written...