Question

If \( y = \log x \), then \( \frac{dy}{dx} \) is:

• A. \( \log x - x \)
• B. \( x \log x \)
• C. 1
• D. \( e^{\log x} \log x \)

Hint:

The derivative of \( \log x \) with respect to \( x \) is always \( \frac{1}{x} \).

Answer 1

The Correct Option is C

Step 1: Differentiating the function.
The derivative of \( y = \log x \) with respect to \( x \) is: \[ \frac{dy}{dx} = \frac{1}{x} \] Step 2: Conclusion.
Thus, the derivative of \( y = \log x \) is 1, corresponding to option (C).