engineering mathematics MCQ #703

If y = cos(x²), then dy/dx = ?

engineering mathematics MCQ #703

  1. Question 1

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

    • A) -2xsin(x²)
    • B) 2xsin(x²)
    • C) -sin(x²)
    • D) sin(x²)

    Answer: -2xsin(x²)

    Explanation: Using the chain rule, if y = cos(u), then dy/dx = -sin(u)(du/dx), so dy/dx = -sin(x²)(2x) = -2xsin(x²).