engineering mathematics MCQ #666

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

engineering mathematics MCQ #666

  1. Question 1

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

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