NCERT · Class 11 · Mathematics · Limits and DerivativesFind the derivative of $f(x) = 3x^2 + 5x - 7$.
Step-by-Step Solution
Using the power rule and sum rule, $\frac{d}{dx}(3x^2) + \frac{d}{dx}(5x) - \frac{d}{dx}(7) = 6x + 5 - 0 = 6x + 5$.
Detailed Options Breakdown
Option : 6x + 5 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 3x + 5
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
Option 2: 6x - 5
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
Option 3: 6x
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.