John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 6, 2023
Calculus

The Continuity Rule: Understanding and Applying the Fundamental Concept in Calculus

Continuity Rule The continuity rule is a fundamental concept in calculus that helps determine if a given function is continuous on a certain interval The continuity rule...

John Rhodes
July 6, 2023
Calculus

Uncovering the Limit of (1 – cos(x))/x as x Approaches 0

limit as x approaches 0: 1-cosx/x To find the limit as x approaches 0 of the expression (1 – cos(x))/x, we can use L’Hôpital’s Rule or the...

John Rhodes
July 6, 2023
Calculus

Finding the Limit of sin(x) / x as x Approaches 0: L’Hôpital’s Rule vs. The Squeeze Theorem

limit as x approaches 0: sinx/x To find the limit as x approaches 0 of sin(x) / x, we can use L’Hôpital’s rule or the Squeeze theorem...

John Rhodes
July 6, 2023
Calculus

Understanding the Geometric Interpretation of the Derivative: Measure of Instantaneous Rate of Change and Slope

Alternate Definition of Derivative In mathematics, the derivative of a function measures how that function changes as its input variable changes In mathematics, the derivative of a...

John Rhodes
July 6, 2023
Calculus

Understanding the Limit Definition of Derivative: Exploring the Precise Definition and Application in Calculus

Limit Definition of Derivative The limit definition of derivative is a mathematical expression that gives a precise definition of the derivative of a function at a specific...

John Rhodes
July 6, 2023
Geometry

Understanding the Converse in Mathematics: Definition, Examples, and Implications

converse In mathematics, the term “converse” refers to a statement that is formed by switching the hypothesis and conclusion of an original statement In mathematics, the term...

John Rhodes
July 6, 2023
Geometry

The Power of the Contrapositive in Mathematical Logic: A Guide to Understanding and Utilizing this Logical Technique

Contrapositive In mathematical logic, the contrapositive of a conditional statement is formed by negating both the hypothesis (the “if” part) and the conclusion (the “then” part) and...

John Rhodes
July 6, 2023
Geometry

Understanding Consecutive Interior Angles: Properties and Uses

consecutive interior angles Consecutive interior angles are a pair of angles that are on the same side of a transversal line and are located between two parallel...