DERIVATIVE OF RATIONAL FUNCTION WITHOUT USING QUOTIENT RULE

Here we see derivatives of rational functions without using quotient rule.

Problem 1 :

y = 2x + 5 / x

Solution :

Problem 2 :

y = (x³ - 2) / x

Solution :

Problem 3 :

y = (x³ - 2) / x

Solution :

Problem 4 :

y = (x³ - 4x² + 3x - 2)/x²

Solution :

Problem 5 :

y = (3x⁷ - 7x + 11)/2x³

Solution :

Problem 6 :

y = (2x + 3)(2x - 3)/x

Solution :

y = ((2x)² - 3²)/x

y = (4x² - 9)/x

Problem 7 :

y = (x + 6)/x³

Solution :

Problem 8 :

y = (2x³ + x + 4)/2x⁵

Solution :

Problem 9 :

y = (x - 3)/√x

Solution :