engineering mathematics MCQ #797

If y = x * e^x, then dy/dx = ?

engineering mathematics MCQ #797

  1. Question 1

    Q1. If y = x * e^x, then dy/dx = ?

    • A) e^x + x*e^x
    • B) e^x - x*e^x
    • C) x*e^x
    • D) e^x

    Answer: e^x + x*e^x

    Explanation: Using the product rule, if y = u*v, then dy/dx = u*dv/dx + v*du/dx, so for y = x*e^x, dy/dx = e^x + x*e^x.