engineering mathematics MCQ #829

If f(x) = x²sin(x), then f'(x) =

engineering mathematics MCQ #829

  1. Question 1

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

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