John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Discover the Chain Rule in Calculus: How to Derive the Derivative of Cos(x) with Respect to x

d/dx(cosx) sinx The derivative of cos(x) with respect to x can be found by using the chain rule and the derivative of sin(x). Using the chain rule,...

John Rhodes
June 21, 2023
Calculus

Step-by-Step Guide to Computing the Derivative of the Tangent Function Using Quotient Rule and Chain Rule

d/dx(tanx) sec²x To compute the derivative of the tangent function, we start with the definition of tangent: tan(x) = sin(x)/cos(x) Then, we can use the quotient rule...

John Rhodes
June 21, 2023
Calculus

Effortlessly Calculate the Derivative of Cot(x) using Quotient Rule | A Comprehensive Guide

d/dx(cotx) csc²x To find the derivative of cot(x), we start by using the quotient rule: (cot x)’ = [(cos x)^(-1)]’ = -1(cos x)^(-2)(-sin x) = sin x/(cos...

John Rhodes
June 21, 2023
Calculus

Learn How to Apply the Chain Rule to Derive the Derivative of Secant x in Simple Steps

d/dx(secx) secxtanx Using the chain rule, we have: d/dx(secx) = d/dx(1/cosx) = (-1/cos^2x) * d/dx(cosx) We can simplify d/dx(cosx) using the identity d/dx(cosx) = -sinx, so: d/dx(secx)...

John Rhodes
June 21, 2023
Calculus

Learn How to Derive csc(x) and Its Optimization Using Quotient Rule and Chain Rule

d/dx(cscx) cscxcotx To find the derivative of csc(x), we’ll need to use the quotient rule along with the knowledge of derivative of sine function. We know that...

John Rhodes
June 21, 2023
Linear Algebra

Master the Basics: Understanding Linear Equations and their Applications

linear equation in the variable x1,…,xn is an equation that can be written in the form a1x1+…+anxn = b where b and the coefficients a1,..,an are all...

John Rhodes
June 21, 2023
Linear Algebra

Understanding Linear Systems in Math: Applications and Solving Techniques

System of linear equations (linear system) is a collection of one or more linear equations involving the same variables. A system of linear equations, also known as...

John Rhodes
June 21, 2023
Linear Algebra

Mastering Linear Algebra: Understanding Equivalent Linear Systems and their transformation through Row Operations

equivalent linear systems linear systems with the same solution set Equivalent linear systems refer to a concept in linear algebra where two systems of linear equations are...