engineering mathematics MCQ #789

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

engineering mathematics MCQ #789

  1. Question 1

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

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

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

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