Question:
If \( y = \log x \), then \( \frac{dy}{dx} \) is:
If \( y = \log x \), then \( \frac{dy}{dx} \) is:
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The derivative of \( \log x \) with respect to \( x \) is always \( \frac{1}{x} \).
Updated On: Feb 2, 2026
- \( \log x - x \)
- \( x \log x \)
- 1
- \( e^{\log x} \log x \)
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The Correct Option is C
Solution and Explanation
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).
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).
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