John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 6, 2023
Geometry

Unlocking Mathematical Insights: The Power of Auxiliary Lines in Problem-Solving and Theorem Proving

auxillary line An auxiliary line in mathematics is an additional line that is drawn or added to a diagram or figure in order to assist in solving...

John Rhodes
July 6, 2023
Geometry

Understanding Acute Triangles: Properties, Angle Measurements, and Applications

Acute Triangle An acute triangle is a type of triangle where all three angles are less than 90 degrees An acute triangle is a type of triangle...

John Rhodes
July 6, 2023
Calculus

How to Find the Derivative of a Composite Function Using the Chain Rule

d/dx f(g(x)) To find the derivative of a composite function, such as f(g(x)), we can use the chain rule To find the derivative of a composite function,...

John Rhodes
July 6, 2023
Calculus

The Product Rule of Differentiation: Finding the Derivative of the Product of Two Functions

d/dx [uv] To find the derivative of the product of two functions defined as u(x) and v(x) with respect to x, we use the product rule of...

John Rhodes
July 6, 2023
Calculus

Understanding Continuity in Mathematics: The Formal Definition and Conditions for a Function to be Continuous

definition of continuity: f is continuous at c iff the limit of f(x) as x approaches c exists and is equal to f(c) the limit of f(x)...

John Rhodes
July 6, 2023
Calculus

Understanding the Derivative: An Alternate Definition Emphasizing Instantaneous Rate of Change

alternate version of def. of derivative The derivative of a function f(x) at a point x=a can be alternatively defined as the instantaneous rate of change of...

John Rhodes
July 6, 2023
Calculus

Exploring the Formal Definition and Significance of Derivatives in Mathematics: Understanding the Concept of Instantaneous Rate of Change and Tangent Line Slope at a Specific Point

formal version of def. of derivative The formal definition of the derivative of a function f(x) at a point x=a is as follows: If the limit of...

John Rhodes
July 6, 2023
Geometry

Understanding the Right Triangle Similarity Theorem: Proportional Sides and Congruent Angles in Similar Triangles

Right Triangle Similarity Theorem The Right Triangle Similarity Theorem states that if there are two right triangles, and one angle of one triangle is congruent to an...