engineering mathematics MCQ #698

If y = e^(x)sin(x), then dy/dx = ?

engineering mathematics MCQ #698

  1. Question 1

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

    • A) e^(x)(sin(x) + cos(x))
    • B) e^(x)(sin(x) - cos(x))
    • C) e^(x)(cos(x) - sin(x))
    • D) e^(x)(cos(x) + sin(x))

    Answer: e^(x)(sin(x) + cos(x))

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