Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

How to Find the Derivative of Cos(x) Using the Chain Rule: Step-by-Step Guide

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

John Rhodes
June 21, 2023
Calculus

Mastering Derivative of Tangent Function: The Quotient Rule Made Easy

d/dx(tanx) sec²x To find the derivative of tangent function, we use the quotient rule. Recall that: (d/dx)(f(x)/g(x)) = [g(x)(d/dx)(f(x)) – f(x)(d/dx)(g(x))]/[g(x)]^2 In this case, we have: f(x)...

John Rhodes
June 21, 2023
Calculus

How to Find the Derivative of Cot(x) using the Quotient Rule: A Comprehensive Guide

d/dx(cotx) csc²x We can find the derivative of cot(x) using the quotient rule. Recall that cot(x) = cos(x)/sin(x). Applying the quotient rule, we have: d/dx(cot(x)) = [sin(x)d/dx(cos(x))...

John Rhodes
June 21, 2023
Calculus

Mastering Set-Builder Notation: A Comprehensive Guide to Defining Sets

set-builder notation {x| a < x < b} or {x| x ≥ 0}*Domain = x & Range = y Set-builder notation, also known as set comprehension notation...

John Rhodes
June 21, 2023
Calculus

Unlocking the Mysteries of Infinity: Exploring the Use of Infinity in Mathematics and Physics

∞ always have these (x) brackets-use < or > only The symbol ∞ represents infinity. It is a mathematical concept that indicates the idea of something without...

John Rhodes
June 21, 2023
Calculus

Interval Notation: A Comprehensive Guide to Representing Real Numbers within Ranges

interval notation -an expression that uses inequalities to describe subsets of real numbers-[x,y] or (x,y) Interval notation is a way of representing a set of real numbers...

John Rhodes
June 21, 2023
Calculus

Understanding Bounded Intervals in Mathematics: Definition and Examples

bounded intervals both of its endpoints are real numbers (finite) In mathematics, a bounded interval is a set of real numbers that is defined by a starting...

John Rhodes
June 21, 2023
Calculus

Mastering Unbounded Intervals in Mathematics: Understanding Left and Right-Unbounded Intervals for Mathematical Analysis, Calculus and Probability Theory

unbounded intervals neither endpoint is a real number In mathematics, an interval is a set of real numbers between two endpoints, also called bounds. An unbounded interval...