## Desmos: A Definitive Guide on Graphing and Computing

A comprehensive guide in using Desmos to graph equations/inequalities, perform computations and conduct basic statistical analysis.

## The Algebra of Infinite Limits — and the Behaviors of Polynomials at the Infinities

An in-depth exploration of the various limit laws concerning infinities, and the end-behaviors of polynomials at the infinities.

## Chain Rule for Derivative — The Theory

A brief look into why the “traditional proof” for Chain Rule is wrong — and how to rectify it to make it complete.

## Exponent Rule for Derivative: Theory & Applications

A brief look into how the exponent rule for derivative is derived, and how to use it to make differentiation faster and easier.

## Integration Series: The Overshooting Method

A comprehensive guide into the Overshooting Method, and how to use it to find the antiderivatives of a wide range of integrals.

## Derivative of Inverse Functions — Theory and Applications

An in-depth view into how the formula for the derivative of inverse is derived, and how to use it to find the derivative of a wide range of functions.

## Derivative of $x^x$, $x^{x^x}$, and a Venture Into Tetration and Hyper-Exponentiation

An exploration into the derivative of x^x and x^x^x, and the concept of tetration and other hyper-exponentiations.

## Troubleshooting: Evaluating a Trigonometric Integral Algebraically

How a trigonometric integral is evaluated incorrectly — and how to fix it.