If y = (x + 1) / (x - 1), then dy/dx = ?
Question 1
Q1. If y = (x + 1) / (x - 1), then dy/dx = ?
Answer: -2 / (x - 1)²
Explanation: Using quotient rule, dy/dx = ((x-1)d(x+1)/dx - (x+1)d(x-1)/dx) / (x-1)² = ((x-1) - (x+1)) / (x-1)² = -2 / (x-1)².