engineering mathematics MCQ #895

If f(x) = x³e^x, find f'(x)

engineering mathematics MCQ #895

  1. Question 1

    Q1. If f(x) = x³e^x, find f'(x)

    • A) x³e^x + 3x²e^x
    • B) x³e^x - 3x²e^x
    • C) 3x²e^x
    • D) x²e^x

    Answer: x³e^x + 3x²e^x

    Explanation: Use the product rule: f'(x) = (x³)'e^x + x³(e^x)' = 3x²e^x + x³e^x.