engineering mathematics MCQ #643

Find the derivative of log(sin(x))

engineering mathematics MCQ #643

  1. Question 1

    Q1. Find the derivative of log(sin(x))

    • A) cot(x)
    • B) tan(x)
    • C) -cot(x)
    • D) -tan(x)

    Answer: cot(x)

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