Calculus | Senioritis

John Rhodes
July 6, 2023
Calculus

Step-by-step derivation of the derivative of sec x with respect to x using the quotient rule

d/dx [sec x] To find the derivative of sec x with respect to x, we can use the quotient rule To find the derivative of sec x...

John Rhodes
July 6, 2023
Calculus

How to Find the Derivative of Cot x | A Step-by-Step Guide

d/dx [cot x] To find the derivative of cot x, we can start by expressing it in terms of sine and cosine: cot x = cos x...

John Rhodes
July 6, 2023
Calculus

Derivative of Tan x: How to Find d/dx[tan x] Using the Quotient Rule and Simplify to Sec^2 x

d/dx [tan x] To find the derivative of tan x, denoted as d/dx[tan x], we can use the quotient rule To find the derivative of tan x,...

John Rhodes
July 6, 2023
Calculus

Understanding the Derivative of the Cosine Function: Simplifying the Derivative Rule for cos(x) to -sin(x)

d/dx [cos x] To find the derivative of the function f(x) = cos(x), we can use the derivative rules To find the derivative of the function f(x)...

John Rhodes
July 6, 2023
Calculus

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

d/dx [sin x] To find the derivative of the function f(x) = sin(x) with respect to x, we can use the chain rule To find the derivative...

John Rhodes
July 6, 2023
Calculus

Understanding Critical Numbers: Examining the Relationship between Concavity and Extremes

If c is a critical number of f, then f has a relative maximum, relative minimum, or an inflection point at c To determine whether a critical...

John Rhodes
July 6, 2023
Calculus

Understanding Local Minimums: Evaluating the Behavior of a Function around a Point

If f (. c) ≤ f (x) for every x in the domain of f, then the point (c, f (. c)) is a local minimum. To...

John Rhodes
July 6, 2023
Calculus

Understanding Rolle’s Theorem: A Fundamental Theorem in Calculus Explaining the Existence of Points with Zero Derivative

Rolle’s Theorem Rolle’s Theorem is a fundamental theorem in calculus, named after the French mathematician Michel Rolle Rolle’s Theorem is a fundamental theorem in calculus, named after...