engineering mathematics MCQ #638

Find the derivative of x²sin(x)

engineering mathematics MCQ #638

  1. Question 1

    Q1. Find the derivative of x²sin(x)

    • A) 2xsin(x) + x²cos(x)
    • B) 2xsin(x) - x²cos(x)
    • C) xsin(x) + x²cos(x)
    • D) xsin(x) - x²cos(x)

    Answer: 2xsin(x) + x²cos(x)

    Explanation: Using product rule, d(x²sin(x))/dx = x²d(sin(x))/dx + sin(x)d(x²)/dx = x²cos(x) + 2xsin(x)