Question Detail

MTH 102 Practice Questions MTH 102 Objective Question

Question

Differentiate (x+3)/(2x-5)
Options
A -1/(2x-5)²
B -6/(2x-5)²
C 5/(2x-5)²
D -11/(2x-5)²
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

By the quotient rule: [(2x-5)(1)-(x+3)(2)]/(2x-5)² = (2x-5-2x-6)/(2x-5)² = -11/(2x-5)².

Hint

Apply the quotient rule (vDu-uDv)/v².

Question Info