Calculus | Senioritis

John Rhodes
July 8, 2023
Calculus

The Quotient Rule: Finding the Derivative of tan(x)

Derivitive of tan(x) To find the derivative of tan(x), we will use the quotient rule To find the derivative of tan(x), we will use the quotient rule....

John Rhodes
July 8, 2023
Calculus

Understanding Rolle’s Theorem: Finding Zero Points in Functions’ Derivatives within a Given Interval

Rolle’s Theorem Rolle’s Theorem is a fundamental result in calculus that is used to find a specific value of a function where its derivative is zero in...

John Rhodes
July 8, 2023
Calculus

Understanding the Implications of a Negative Second Derivative: Concavity, Slope, and Extrema in Math

f” is negative If f” is negative, it means that the second derivative of the function f(x) is negative If f” is negative, it means that the...

John Rhodes
July 8, 2023
Calculus

Understanding the Second Derivative: Exploring Concavity and Rate of Change in Mathematical Functions

f” is positive In mathematics, the notation f” refers to the second derivative of a function f, which represents the rate of change of the rate of...

John Rhodes
July 8, 2023
Calculus

The Significance of a Negative Derivative: Analyzing Decreasing Functions, Turning Points, Concavity, and Rate of Change

f’ is negative When it is stated that f’ (pronounced as “f prime”) is negative, it means the derivative of the function f(x) is negative When it...

John Rhodes
July 8, 2023
Calculus

Understanding the Significance of Positive Derivatives in Math: Exploring Increasing Functions and Optimization

f’ is positive When we say that f’ (pronounced as f prime) is positive, it means that the derivative of the function f(x) with respect to x...

John Rhodes
July 8, 2023
Calculus

Understanding Horizontal Tangents in Mathematics: A Guide to Flat Slopes and Zero Derivatives

Horizontal tangent In mathematics, a horizontal tangent refers to a tangent line that is parallel to the x-axis on a graph In mathematics, a horizontal tangent refers...

John Rhodes
July 8, 2023
Calculus

Understanding Vertical Tangents in Calculus: Exploring Points on a Curve with Undefined Slope

Vertical tangent A vertical tangent is a term used in calculus to describe a point on a curve where its slope (or derivative) is undefined, resulting in...