Calculus | Senioritis

John Rhodes
July 8, 2023
Calculus

The Derivative of ln(x): Finding the Rate of Change of the Natural Logarithm Function

Derivative of ln The derivative of ln(x), also known as the natural logarithm function, can be found using the properties of logarithms and the chain rule of...

John Rhodes
July 8, 2023
Calculus

How to Find the Derivative of the Logarithm Function with Base a Using the Chain Rule and Change of Base Formula

Derivative of loga(x) To find the derivative of the logarithm function with base “a”, we can use the properties of logarithms and the chain rule of differentiation...

John Rhodes
July 8, 2023
Calculus

Understanding the Power Rule: Calculus Concept for Differentiating Power Functions

Power Rule The power rule is a fundamental concept in calculus that is used to differentiate power functions, where the variable is raised to a constant exponent...

John Rhodes
July 8, 2023
Calculus

Understanding and Applying the Quotient Rule for Differentiation in Calculus

Quotient Rule The quotient rule is a useful formula in calculus that allows us to differentiate functions that are written as the quotient of two other functions...

John Rhodes
July 8, 2023
Calculus

The Product Rule in Calculus: Finding the Derivative of a Product of Two Functions

Product Rule The product rule is a rule in calculus that allows us to find the derivative of a product of two functions The product rule is...

John Rhodes
July 8, 2023
Calculus

Understanding the Derivative: A Geometric Insight into Differentiation

Alternative Definition of a Derivative In mathematics, the derivative of a function represents the rate at which that function is changing at any given point In mathematics,...

John Rhodes
July 8, 2023
Calculus

The Mean Value Theorem: Connecting Average and Instantaneous Rates of Change in Calculus

Mean Value Theorem The Mean Value Theorem is a fundamental result in calculus that states that if a function is continuous on a closed interval [a, b]...

John Rhodes
July 8, 2023
Calculus

Understanding Rolle’s Theorem: A Fundamental Result in Calculus for Analyzing Functions and Identifying Critical Points

Rolle’s Theorem Rolle’s Theorem is a fundamental result in calculus that describes a condition for when a continuous and differentiable function will have a specific type of...