Question Detail
Question
Find the gradient of (3x+2)/(5x-3) at x=0
Correct Answer
Option C is the correct answer.
Detailed Explanation
By the quotient rule: [(5x-3)(3)-(3x+2)(5)]/(5x-3)². At x=0: [(-3)(3)-(2)(5)]/9 = (-9-10)/9 = -19/9.
Hint
Apply the quotient rule and evaluate all pieces at x=0.