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 = ex.
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