The quotient rule is used to differentiate fractions which contain a function of x in the numerator and denominator and that cannot be divided easily.
It is an important rule that is used extensively in calculus. In the tutorial I show you what it is and how to apply it.

Differentiation - The Quotient Rule : ExamSolutions Maths Revision - youtube Video

Proof of Quotient Rule

Proof of the Quotient Rule for Differentiation : ExamSolutions Maths Revision - youtube Video


The next example is more challenging in as much as it requires the use of the chain rule within the question and aims to reinforce the need for a systematic approach to simplifying the answer.
Well worth doing.

Differentiation - Quotient Rule - Example: ExamSolutions - youtube Video