engineering mathematics MCQ #749

If y = sin(x²), then dy/dx = ?

engineering mathematics MCQ #749

  1. Question 1

    Q1. If y = sin(x²), then dy/dx = ?

    • A) 2x cos(x²)
    • B) cos(x²)
    • C) 2x sin(x²)
    • D) -2x cos(x²)

    Answer: 2x cos(x²)

    Explanation: Using chain rule, dy/dx = d(sin(x²))/dx = cos(x²) * d(x²)/dx = cos(x²) * 2x = 2x cos(x²).