Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

the Different Types of Discontinuities in Math: Jump, Removable, and Infinite Discontinuities

discontinuties Removable ones (holes, point existing elsewhere) do have a limit, non removable ones (asymptotes, jumps) don’t Discontinuities are points on a graph where the function is...

John Rhodes
June 21, 2023
Calculus

One-Sided Limits: A Crucial Concept in Calculus

One sided limits lim x–> 2^- (approaches from the left)lim x–> 2^+ (approaches from the right)Usually solved the same, sometimes you need to plug in something close...

John Rhodes
June 21, 2023
Calculus

How to Calculate Derivatives Using the Product Rule in Math

d/dx (fg) fg’ + gf’ Using the product rule, the derivative of f(x) multiplied by g(x) with respect to x is given by: d/dx (f(x)g(x)) = f(x)...

John Rhodes
June 21, 2023
Calculus

Mastering the Quotient Rule for Finding Derivatives of Functions: A Comprehensive Guide

d/dx (f/g) (gf’-fg’)/g^2 To find the derivative of the quotient f(x)/g(x) with respect to x, we can use the quotient rule: “` (d/dx) (f(x)/g(x)) = [g(x)*d/dx(f(x)) –...

John Rhodes
June 21, 2023
Calculus

Mastering the Power Rule: Derivatives of x^n With Respect to x Explained

d/dx (x^n) nx^n-1 The derivative of x^n with respect to x is given by: d/dx(x^n) = n*x^(n-1) Where n is a constant. To understand why this is...

John Rhodes
June 21, 2023
Calculus

Learn to Find Derivative of x^4 with Power Rule – Step by Step Guide

d/dx (x^4) 4x^3 To find the derivative of x^4 with respect to x, we use the power rule of differentiation. According to the power rule, the derivative...

John Rhodes
June 21, 2023
Calculus

Proving the Derivative of e^x: A Step-by-Step Guide

d/dx (e^x) e^x The derivative of e^x with respect to x is e^x. We can use the definition of the derivative to prove this statement: f(x) =...

John Rhodes
June 21, 2023
Calculus

Learn How to Find the Derivative of Sin x Using Trigonometry

d/dx (sin x) cos x To find the derivative of sin x, we will use the definition of the derivative: d/dx (sin x) = lim(h->0) [(sin(x +...