engineering mathematics MCQ #976

If f(x) = x²sin(x), find f'(x)

engineering mathematics MCQ #976

  1. Question 1

    Q1. If f(x) = x²sin(x), find f'(x)

    • A) 2xsin(x) + x²cos(x)
    • B) x²cos(x)
    • C) 2xsin(x)
    • D) x²sin(x)

    Answer: 2xsin(x) + x²cos(x)

    Explanation: Using the product rule, f'(x) = d(x²)/dx*sin(x) + x²*d(sin(x))/dx = 2xsin(x) + x²cos(x).