The Quotient Rule says that the derivative of a quotient is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator then all divided by the square of the denominator.
Reason for the Quotient Rule:
The Product Rule should be utilized when the derivative of the quotient of two functions is to be taken.
It is expressed as:
It is almost similar to the product rule in calculus. The only difference between the quotient rule and the product rule is that in the product rule we have the function of type f(x)*g(x) and in the quotient rule, we have the function of type f(x)/g(x).
This rule always starts with a denominator function and ends up with a denominator function.
Have you ever imagined that you will be using quotient rules in real life? If not, then let me tell you how.
Some examples are:-
There are three very important rules that are generally applicable and they depend on the structure of the function we are differentiating:
The quotient is the answer obtained when we divide one number with another.
For example, when dividing the number 6 by 3, we get the result as 2, which is the quotient. The quotient can also be an integer or a decimal number.
There are so-called “shortcut” rules for finding the derivative of a function. The quotient rule is a rule used to find the derivative of a function that can be written as the quotient of two functions. More simply, you can think of the quotient rule before applying to functions that are written out as fractions where the numerator and the denominator are both themselves functions.
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