Calculus | Senioritis

John Rhodes
July 29, 2023
Calculus

How to Find the Derivative of tan(x) with Respect to x | A Step-by-Step Guide

d/dx(tanx) To find the derivative of tan(x) with respect to x, we can use the definition of the tangent function and apply the chain rule To find...

John Rhodes
July 25, 2023
Calculus

Derivative of Tan(x): The Formula Explained and Derived

d/dx(tanx) sec²x To find the derivative of tan(x) with respect to x, we can use the definition of the tangent function and apply the chain rule. The...

John Rhodes
July 25, 2023
Calculus

How to Find the Derivative of cos(x) Using the Chain Rule

d/dx(cosx) sinx To find the derivative of the function f(x) = cos(x) with respect to x (denoted as d/dx(cosx)), we can apply the chain rule of differentiation....

John Rhodes
July 25, 2023
Calculus

How to Find the Derivative of sin(x) Using the Chain Rule

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

John Rhodes
July 25, 2023
Calculus

Understanding the Basic Derivative: Exploring the Rate of Change in Mathematical Functions

Basic Derivative f(x^n)= nX^(n-1) The basic derivative refers to the mathematical operation of finding the rate at which a function is changing at a particular point. It...

John Rhodes
July 25, 2023
Calculus

The Continuity Rule: Understanding the Fundamentals and Applications in Mathematics

Continuity Rule If the limit exists (aka left limit and right limit are equal), and the limit equals the function at that point. The continuity rule, also...

John Rhodes
July 25, 2023
Calculus

Calculating the Limit as x Approaches 0 of (1 – cosx)/x Using Trigonometric Identities

limit as x approaches 0: 1-cosx/x (1 – cosx)/x is sin(x/2) To find the limit as x approaches 0 of the expression (1 – cosx)/x, we can...

John Rhodes
July 25, 2023
Calculus

Understanding and Evaluating the Limit as x Approaches 0 of sin(x)/x in Calculus

limit as x approaches 0: sinx/x sin(x)/x is also 0 To find the limit as x approaches 0 of sin(x)/x, we can use a standard trigonometric limit...