Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Discover the Derivative of Sin(x) with Step-by-Step Guide

d/dx(sinx) cosx The derivative of sin(x) with respect to x is cosine(x). We can prove this using the chain rule. The derivative of sin(x) can be written...

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...