Fundamental limit rules with funny intuition
Kurious Fox Let’s go over the fundamental limit rules (sum, difference, multiple, quotient, power) with their mathematical formulas and a…
Calculus
Examples of calculating limits by simplifying fractions
Example 1:Step 1: Plug in the limit directly This is an indeterminate form, so we need to simplify.…
Understanding Limits in Calculus: A Comprehensive Guide, Limit Rules and Examples
In calculus, the concept of a limit is fundamental. It describes the behavior of a function as its…
Understanding Continuous and Discontinuous Functions
Continuous Functions Intuitive Idea:A continuous function is one whose graph can be drawn without lifting your pen from…
Derivatives Explained: Key Rules, Examples and Applications
In mathematics, particularly in calculus, the derivative is a fundamental concept that measures how a function’s output value…
Understanding Maximum, Minimum Values, slope and stationary points
“Maximum” and “minimum” are terms used to describe the highest and lowest possible values of something. Some real-life…
Intro to Taylor Expansion for Multivariable Functions with examples
What is a Taylor Expansion? The Taylor expansion is a way to represent a function (or a multivariable…
Understanding the Jacobian Matrix: a step by step introduction with examples
Ma tr?n Jacobian là công c? trong gi?i tích ?a bi?n, mô t? ??o hàm riêng c?a hàm…
Vector derivatives
??o hàm theo vector bao g?m gradient, ma tr?n Jacobian và ??o hàm c?a ma tr?n, ?óng vai…
Riemann sum
A Riemann sum is a method used in calculus to approximate the integral (or area under a curve)…