Calculus | Senioritis

John Rhodes
July 7, 2023
Calculus

Exploring the Chain Rule: The Derivative of cos(x) and its Application

d/dx(cosx) To find the derivative of cos(x) with respect to x (d/dx(cosx)), you can use the basic rules of differentiation To find the derivative of cos(x) with...

John Rhodes
July 7, 2023
Calculus

Understanding the Chain Rule: Derivative of sin(x) with Respect to x is cos(x)

d/dx(sinx) To find the derivative of sin(x) with respect to x, we can use the chain rule of differentiation To find the derivative of sin(x) with respect...

John Rhodes
July 7, 2023
Calculus

Mastering Derivatives: A step-by-step guide to finding derivatives using the power, constant, sum, and product rules.

Basic Derivative The basic derivative is a fundamental concept in calculus that involves finding the instantaneous rate of change of a function at any given point The...

John Rhodes
July 7, 2023
Calculus

The Continuity Rule in Calculus: Explained and Applied

Continuity Rule The continuity rule is a fundamental concept in calculus that deals with the behavior of functions and their properties The continuity rule is a fundamental...

John Rhodes
July 7, 2023
Calculus

Finding the Limit as x Approaches 0 of (1 – cosx)/x: L’Hopital’s Rule vs Trigonometric Identity

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 L’Hopital’s rule or apply...

John Rhodes
July 7, 2023
Calculus

Understanding the Limit of sin(x)/x as x Approaches 0: A Trigonometric Approach

limit as x approaches 0: sinx/x To find the limit of sin(x)/x as x approaches 0, we can’t directly substitute 0 into the function because it would...

John Rhodes
July 7, 2023
Calculus

The Alternate Definition of Derivative: A Powerful Tool for Analyzing Discontinuous and Piecewise Functions

Alternate Definition of Derivative In mathematics, the derivative of a function is a fundamental concept that describes how the function changes as its input values change In...

John Rhodes
July 7, 2023
Calculus

Understanding the Limit Definition of Derivative: Exploring the Foundation of Calculus and Instantaneous Rate of Change

Limit Definition of Derivative The limit definition of derivative is a mathematical expression that defines the derivative of a function at a certain point The limit definition...