engineering mathematics MCQ #670

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

engineering mathematics MCQ #670

  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) - cos(x))
    • C) e^(x) cos(x)
    • D) e^(x) sin(x)

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

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