Tabular Method for Product and Quotient Rule:: A faster approach

We basically have 4 types of function 

1. Algebraic
2. Trigonometric
3. Exponential 
4. Logarithmic

but when they get multiplied with each other , doing derivation and integration become complex and time consuming. This is the fastest method i have ever seen to get first and 2nd derivative of a function.

Just take derivative of both function and cross-multiply, put '+'  between cross-multiplied terms and then simplify.

Product Rule and 2nd Derivative by Tabular Method :

Quotient Rule by Tabular Method

 Example