If y = sin(x) / (1 + cos(x)), find dy/dx at x = π / 2
Q1. If y = sin(x) / (1 + cos(x)), find dy/dx at x = π / 2
Answer: 1
Explanation: Using quotient rule, dy/dx = ((1 + cos(x)) d(sin(x))/dx - sin(x) d(1 + cos(x))/dx) / (1 + cos(x))², at x = π / 2, dy/dx = 1