Mathematics | Senioritis

John Rhodes
July 6, 2023
Calculus

Understanding the Equation for a Vertical Hyperbola: Shape, Orientation, and Graphing

Vertical Hyperbola Formula The equation for a vertical hyperbola can be written in the form: (x – h)^2 / a^2 – (y – k)^2 / b^2 =...

John Rhodes
July 6, 2023
Calculus

How to Graph a Horizontal Hyperbola: Steps and Formulas

Horizontal Hyperbola Formula The formula for a horizontal hyperbola can be represented as: (x – h)^2 / a^2 – (y – k)^2 / b^2 = 1 where...

John Rhodes
July 6, 2023
Calculus

Understanding the Equation of a Vertical Ellipse: Explained with Formulas, Definitions, and Properties

Vertical Ellipse Formula The equation of a vertical ellipse is given by: (x – h)^2 / a^2 + (y – k)^2 / b^2 = 1 where (h,...

John Rhodes
July 6, 2023
Calculus

Understanding the Formula for a Horizontal Ellipse: Explained Step by Step

Horizontal Ellipse Formula The formula for a horizontal ellipse is given by: ((x-h)^2 / a^2) + ((y-k)^2 / b^2) = 1 In this formula: – (h, k)...

John Rhodes
July 6, 2023
Calculus

Understanding the Sign Change of f'(x): Transition from Increasing to Decreasing Function, Critical Point Analysis.

When f ‘(x) changes from positive to negative, f(x) has a When f'(x) changes from positive to negative, it means that the derivative of the function f(x)...

John Rhodes
July 6, 2023
Calculus

Understanding the Increasing Behavior of a Function: An Analysis of f'(x) Changes from Negative to Positive

When f ‘(x) changes from negative to positive, f(x) has a When a function’s derivative, f'(x), changes from negative to positive, it indicates that the function f(x)...

John Rhodes
July 6, 2023
Calculus

Understanding the Significance of a Negative Derivative: Function Decreasing in Value

When f ‘(x) is negative, f(x) is When f ‘(x) is negative, it means that the derivative of the function f(x) with respect to x is negative...

John Rhodes
July 6, 2023
Calculus

Understanding Positive Derivatives: Implications and Graphical Interpretation of f ‘(x) > 0

When f ‘(x) is positive, f(x) is When f ‘(x) is positive, it means that the derivative of the function f(x) with respect to x is greater...