engineering mathematics MCQ #791

If y = x² e^x, then dy/dx = ?

engineering mathematics MCQ #791

  1. Question 1

    Q1. If y = x² e^x, then dy/dx = ?

    • A) x² e^x + 2x e^x
    • B) x² e^x
    • C) 2x e^x
    • D) e^x

    Answer: x² e^x + 2x e^x

    Explanation: Using the product rule, dy/dx = d(x² e^x)/dx = x² d(e^x)/dx + e^x d(x²)/dx = x² e^x + 2x e^x.