engineering mathematics MCQ #774

If y = ln(sin(x)), find dy/dx

engineering mathematics MCQ #774

  1. Question 1

    Q1. If y = ln(sin(x)), find dy/dx

    • A) cot(x)
    • B) 1 / sin(x)
    • C) tan(x)
    • D) 1 / cos(x)

    Answer: cot(x)

    Explanation: Using the chain rule, dy/dx = 1/sin(x) * d(sin(x))/dx = 1/sin(x) * cos(x) = cot(x)