engineering mathematics MCQ #855

If f(x) = x²sin(x), then f'(x) is

engineering mathematics MCQ #855

  1. Question 1

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

    • 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 product rule, f'(x) = (x²)'sin(x) + x²(sin(x))' = 2xsin(x) + x²cos(x).