QUOTIENT RULE OF DERIVATIVE

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Let u and v be two functions of x. Consider y which is equal to the quotient of u and v. That is,

Following is the rule to find derivative of the quotient of u and v with respect to x.

The above is called the quotient rule of derivative.

Find the derivative of each of the following.

Example 1 :

Solution :

Quotient Rule of Derivative :

Substitute u = 2x and v = 3x³ + 7.

Example 2 :

Solution :

Quotient Rule of Derivative :

Substitute u = x² - 1 and v = x² + 1.

Example 3 :

Solution :

Quotient Rule of Derivative :

Substitute u = x² and v = e^x.

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