engineering mathematics MCQ #782

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

engineering mathematics MCQ #782

  1. Question 1

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

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

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

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