Calculus | Senioritis

John Rhodes
July 7, 2023
Calculus

Understanding the Derivative of cos(x) with Respect to x using the Chain Rule

d/dx(cosx) To compute the derivative of cos(x) with respect to x, we can use the chain rule To compute the derivative of cos(x) with respect to x,...

John Rhodes
July 7, 2023
Calculus

The Derivative Formula for Trigonometric Functions: Finding the Derivative of sin(x) with Respect to x and Using the Chain Rule.

d/dx(sinx) To find the derivative of sin(x) with respect to x, we can use the derivative formula for trigonometric functions To find the derivative of sin(x) with...

John Rhodes
July 7, 2023
Calculus

The Power Rule: Finding Derivatives of Functions Raised to Constant Powers

Basic Derivative The derivative is a fundamental concept in calculus that measures the rate of change of a function at a particular point The derivative is a...

John Rhodes
July 7, 2023
Calculus

Understanding the Continuity Rule in Mathematics: Exploring Functions and their Behavior at Specific Points

Continuity Rule In mathematics, the continuity rule refers to a property of functions and their behavior at specific points In mathematics, the continuity rule refers to a...

John Rhodes
July 7, 2023
Calculus

Evaluating the Limit as x Approaches 0 of (1 – cosx)/x using Trigonometric Identity and Algebraic Manipulations

limit as x approaches 0: 1-cosx/x To find the limit as x approaches 0 of the expression (1 – cosx)/x, we can use a trigonometric identity and...

John Rhodes
July 7, 2023
Calculus

Understanding the Limit of Sin(x)/x as x Approaches 0: A Simplified Explanation and Proof

limit as x approaches 0: sinx/x To evaluate the limit of sin(x)/x as x approaches 0, we can’t simply substitute the value 0 into the expression because...

John Rhodes
July 7, 2023
Calculus

Understanding the Cosine Function: An In-Depth Exploration of its Definition, Properties, and Applications

Cosine Function The cosine function, denoted as cos(x), is a mathematical function that relates the angle of a right triangle to the ratio of the length of...

John Rhodes
July 7, 2023
Calculus

Exploring the Natural Logarithm Function: Properties, Examples, and Applications

Natural Logarithm Function The natural logarithm function, denoted as ln(x) or sometimes simply as log(x), is a mathematical function that is the inverse of the exponential function...