CBSE · Class 11 · Mathematics · Limits and DerivativesFind the derivative of $f(x) = \log x$ with respect to $x$.
Step-by-Step Solution
Using first principles for natural logarithmic function, the derivative of $\log_e x$ with respect to $x$ is $\frac{1}{x}$.
Detailed Options Breakdown
Option : x
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
Option 1: \frac{1}{x} (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: \log x
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
Option 3: e^x
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
💡 Study Guide: This question tests core syllabus concepts from Limits and Derivatives. For formulas, key summaries, and mock exam reference guides, read the full Limits and Derivatives Revision Notes.