John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 29, 2023
Calculus

Understanding Twice-Differentiable Functions | A Key Concept in Mathematics

What is the definition of “twice-differentiable”? In mathematics, a function is said to be twice-differentiable if it is differentiable twice, or in other words, if its derivative...

John Rhodes
July 29, 2023
Calculus

Understanding Differentiability in Mathematics | The Concept, Definition, and Significance for Functions

What is the definition of “differentiable”? In mathematics, a function is considered differentiable if it has a derivative at every point in its domain In mathematics, a...

John Rhodes
July 29, 2023
Calculus

Understanding Velocity and Rest | Analyzing Particle Movement in Calculus

What does it mean for a particle to be at rest in a calculus context? In a calculus context, when we say that a particle is at...

John Rhodes
July 29, 2023
Calculus

Understanding Position, Velocity, and Acceleration | Calculus Concepts and Examples

How do I find position, velocity, and accelteration as functoins? To find position, velocity, and acceleration as functions, we need to understand the basic concepts of calculus...

John Rhodes
July 29, 2023
Calculus

Finding the Equation of a Tangent Line | A Derivative-Based Approach

What is the equation of a line tangent to the curve f(x), and what is its slope? To find the equation of a line tangent to a...

John Rhodes
July 29, 2023
Calculus

Determining Horizontal and Vertical Asymptotes | Steps and Methods for Rational Functions

How do I find a horizontal asymptote? How do I find a vertical asymptote? To find a horizontal asymptote, you need to determine the behavior of a...

John Rhodes
July 29, 2023
Calculus

Solving Limits of 0/0 or Infinity/Infinity | L’Hôpital’s Rule, Algebraic Manipulation, and Rewriting Techniques

When a limit equals 0/0 or infinity/infinity, what should I do? When faced with a limit that evaluates to 0/0 or infinity/infinity, you can use various mathematical...

John Rhodes
July 29, 2023
Calculus

Understanding Indeterminate Forms in Mathematics | Exploring Limit Evaluations

What does it mean for a limit to be indeterminate? Give two examples of indeterminate expressions. In mathematics, a limit is considered indeterminate when it does not...