NCERT · Class 11 · Mathematics · Limits and DerivativesFind the derivative of $f(x) = \cos x$.
Step-by-Step Solution
Using the first principle or quotient rule on $\cos x$, the derivative of $\cos x$ with respect to $x$ is $-\sin x$.
Detailed Options Breakdown
Option : sin x
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
Option 1: -sin x (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: cos x
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
Option 3: -cos 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.