engineering mathematics MCQ #680

If y = cos⁻¹(1 / x), then dy/dx = ?

engineering mathematics MCQ #680

  1. Question 1

    Q1. If y = cos⁻¹(1 / x), then dy/dx = ?

    • A) 1 / (x² √(1 - 1/x²))
    • B) -1 / (x² √(1 - 1/x²))
    • C) 1 / √(x² - 1)
    • D) -1 / √(x² - 1)

    Answer: 1 / (x² √(1 - 1/x²))

    Explanation: Using chain rule, dy/dx = -1/√(1 - (1/x)²) * d(1/x)/dx = 1 / (x² √(1 - 1/x²)).