engineering mathematics MCQ #763

If y = e^(x + 1 / x), then dy/dx = ?

engineering mathematics MCQ #763

  1. Question 1

    Q1. If y = e^(x + 1 / x), then dy/dx = ?

    • A) e^(x + 1/x) * (1 - 1/x²)
    • B) e^(x + 1/x)
    • C) e^(x + 1/x) * (1 + 1/x²)
    • D) e^(x + 1/x) * (1 + 1/x)

    Answer: e^(x + 1/x) * (1 - 1/x²)

    Explanation: Using chain rule, dy/dx = d(e^(x + 1/x))/dx = e^(x + 1/x) * d(x + 1/x)/dx = e^(x + 1/x) * (1 - 1/x²).