engineering mathematics MCQ #727

Derivative of x³ cos(x) is

engineering mathematics MCQ #727

  1. Question 1

    Q1. Derivative of x³ cos(x) is

    • A) 3x² cos(x) - x³ sin(x)
    • B) 3x² cos(x) + x³ sin(x)
    • C) x³ sin(x)
    • D) -x³ sin(x)

    Answer: 3x² cos(x) - x³ sin(x)

    Explanation: Using product rule, derivative is x³ d(cos(x))/dx + cos(x) d(x³)/dx = -x³ sin(x) + 3x² cos(x)