Mathematics | Senioritis

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...

John Rhodes
July 6, 2023
Geometry

The AA Similarity Postulate: Understanding Triangle Similarity

AA Similarity Postulate The AA Similarity Postulate, also known as the Angle-Angle Similarity Postulate, states that if two angles of one triangle are congruent to two angles...

John Rhodes
July 6, 2023
Geometry

Understanding Similar Polygons: Angle Similarity and Side Proportionality in Mathematics

similar polygons Similar polygons are polygons that have the same shape but are possibly different sizes Similar polygons are polygons that have the same shape but are...

John Rhodes
July 6, 2023
Geometry

How to Use the Cross Product Property to Solve Equations Involving Fractions

cross products property The cross product property, also known as the cross product rule or cross multiplication, is a property used when solving equations involving fractions The...