engineering mathematics MCQ #678

If y = x³ e^(2x), then dy/dx = ?

engineering mathematics MCQ #678

  1. Question 1

    Q1. If y = x³ e^(2x), then dy/dx = ?

    • A) x² e^(2x) (3 + 2x)
    • B) x² e^(2x) (2 + 3x)
    • C) e^(2x) (3x² + 2x³)
    • D) 3x² e^(2x)

    Answer: e^(2x) (3x² + 2x³)

    Explanation: Using product rule, dy/dx = x³*d(e^(2x))/dx + e^(2x)*d(x³)/dx = 2x³e^(2x) + 3x²e^(2x) = e^(2x)(3x² + 2x³).