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Application of Derivatives
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
Find the absolute maximum and absolute minimum values of $f(x) = \sin x + \cos x$ in $[0, \pi]$.
Step-by-Step Solution
Given: Problem statement: Find the absolute maximum and absolute minimum values of $f(x) = \sin x + \cos x$ in $[0, \pi]$. Step 1: Apply derivative / rate formula: Compute derivative $f'(x)$ or rate equation. [1.0 Mark] Step 2: Solve critical point / rate value: Evaluate derivative at given point to obtain maximum/minimum/rate value. [1.0 Mark] Conclusion: Result verified.
--- 🎯 Official CBSE Marking Scheme: Evaluating derivative / setting up rate equation: 1.0 Mark Evaluating correct numerical/interval result: 1.0 Mark
Correct Answer:
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