engineering mathematics MCQ #700

If y = x³e^(x), then dy/dx = ?

engineering mathematics MCQ #700

  1. Question 1

    Q1. If y = x³e^(x), then dy/dx = ?

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

    Answer: x²e^(x)(x + 3)

    Explanation: Using the product rule, if y = uv, then dy/dx = u(dv/dx) + v(du/dx), so dy/dx = x³e^(x) + e^(x)3x² = x²e^(x)(x + 3).