engineering mathematics MCQ #642

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

engineering mathematics MCQ #642

  1. Question 1

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

    • A) e^(sin(x))cos(x)
    • B) e^(sin(x))
    • C) e^(cos(x))sin(x)
    • D) e^(cos(x))

    Answer: e^(sin(x))cos(x)

    Explanation: Using chain rule, dy/dx = e^(sin(x)) * d(sin(x))/dx = e^(sin(x))cos(x)