Calculus | Senioritis

John Rhodes
July 29, 2023
Calculus

Reasons Why Functions May Not be Differentiable | Understanding Discontinuity, Corners, Vertical Tangents, and More

Reasons for a function to not be differentiable There are several reasons why a function may not be differentiable at a certain point or over a given...

John Rhodes
July 29, 2023
Calculus

Understanding Differentiability | A Key Concept in Calculus for Analyzing Function Behavior and Properties

Differentiable In mathematics, the concept of differentiability is a key concept in calculus, specifically in the branch of differential calculus In mathematics, the concept of differentiability is...

John Rhodes
July 29, 2023
Calculus

Understanding Continuity in Mathematics | Explaining the Conditions for a Function to be Continuous at x = a

Continuous at x = a A function f(x) is said to be continuous at x = a if three conditions are satisfied: 1 A function f(x) is...

John Rhodes
July 29, 2023
Calculus

Exploring the Equation sin 2θ and its Trigonometric Identity

sin 2θ = The equation “sin 2θ” is an expression involving the trigonometric function sine, represented by the symbol “sin,” and an angle denoted as 2θ The...

John Rhodes
July 29, 2023
Calculus

The Pythagorean Identity | Understanding the Equation cos² θ + sin² θ =

cos² θ + sin² θ = The equation “cos² θ + sin² θ =” is an example of the Pythagorean identity The equation “cos² θ + sin²...

John Rhodes
July 29, 2023
Calculus

Simplifying the Expression √(x²-a²) Using the Difference of Squares Identit

when √(x²-a²) When evaluating the expression √(x²-a²), you are finding the square root of the difference between x² and a², where a is a constant When evaluating...

John Rhodes
July 29, 2023
Calculus

Simplifying the Expression √(a²+x²) in Mathematics | Understanding the Pythagorean Theorem and Its Application in Geometry and Calculus

when √(a²+x²) The expression √(a²+x²) represents the square root of the sum of the squares of the numbers a and x The expression √(a²+x²) represents the square...

John Rhodes
July 29, 2023
Calculus

Understanding the Pythagorean Theorem | How √(a²-x²) Represents the Missing Side Length in a Right Triangle

when √(a²-x²) The expression √(a²-x²) represents the square root of the difference between the squares of two numbers, a and x The expression √(a²-x²) represents the square...