Mathematics | Senioritis

John Rhodes
July 7, 2023
Calculus

Understanding the Vertical Hyperbola Equation: Form, Center, Vertices, Foci, and Asymptotes

Vertical Hyperbola Formula The equation for a vertical hyperbola is given by: (x – h)^2 / a^2 – (y – k)^2 / b^2 = 1 where (h,...

John Rhodes
July 7, 2023
Calculus

Graphing a Horizontal Hyperbola: Equation, Center, Vertices, Foci, Asymptotes and Steps

Horizontal Hyperbola Formula The horizontal hyperbola formula is used to represent the equation of a hyperbola that is oriented horizontally The horizontal hyperbola formula is used to...

John Rhodes
July 7, 2023
Calculus

Understanding the Formula and Properties of a Vertical Ellipse: Explained in Simple Terms

Vertical Ellipse Formula The formula for a vertical ellipse can be written in general form as: (x – h)^2 / a^2 + (y – k)^2 / b^2...

John Rhodes
July 7, 2023
Calculus

Understanding and Graphing a Horizontal Ellipse: Equation, Visualization, and Steps

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

John Rhodes
July 7, 2023
Calculus

Understanding the Significance of f ‘(x) Changing from Positive to Negative: Implication for Local Maximum

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...

John Rhodes
July 7, 2023
Calculus

Understanding Changing Trends in Functions: The Significance of f'(x) Changing from Negative to Positive

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

John Rhodes
July 7, 2023
Calculus

Understanding Decreasing Functions: Analyzing the Negative Derivative and Behavior of Functions

When f ‘(x) is negative, f(x) is When the derivative of a function f(x), f'(x), is negative, it means that the function is decreasing When the derivative...

John Rhodes
July 7, 2023
Calculus

Understanding the Positive Derivative: How it Indicates an Increasing Function

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...