Differentiations.

For the purpose of those who are preparing for WAEC and UTME, I will like to introduce you to the Mathematics called, "Derivatives"
Do not be scared as I am going to make it so simple for you.
In differentiation, the derivative of any constant is Zero, the derive of X is 1.
There are different rules for finding derivatives in Calculus.
To find the derivative of a number is like finding the square root of a number.
The Rules of derivatives are:
1. Power Rule
2. Quotient Rule
3.Product Rule
4.Chain Rule.
We shall go through them one after the other.
  The Power Rule
Find the derivative 
f(x)=x⁴+2x³-x²+4x-1
To find the derivative of the above function, find the derivative of each term individually. In doing so, make the power of x the coefficient of x and reduce the power by 1 while, in terms where x has a coefficient, multiply the power of x by its coefficient and reduce the power by 1.Also to remember is that any constant is Zero.
   Solution to our problem
  Formula is: 

f(x)=x⁴+2x³-x²+4x-1
f'(x)=4x³+6x²-2x+4
Stay tune for the  other rules.
Until I come your way again, stay safe!

Welcome back!

Now, we are going to look at Quotient Rule.

Quotient Rule is applied when one function is divided by another function

You can easily remember Quotient rule by: 

This is read as LowDiHigh minus HighDiLow all over LowLow.

It means the under function multiply by the derivative of the on top function minus the on top function multiply by the derivative of the under function all divided by the square of the under function.

For more clarification, look at this: 

Multiply 3x-1  by the derivative of x² minus x² multiply by the derivative of 3x-1 all over (3x-1)²

See below for more clarification: 

The derivative of x²=2x

The derivative of 3x-1=3

Since 1 is a constant, its derivative=0

Expect other rules later in the day.