engineering mathematics MCQ #649

Find the derivative of e^(x)sin(x)

engineering mathematics MCQ #649

  1. Question 1

    Q1. Find the derivative of e^(x)sin(x)

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

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

    Explanation: Using product rule, 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)