NCERT Class 12 · Ch 6 Exercise 6.2 · Q13
NCERT Class 12 Maths · Chapter 6 Applications Of Derivatives · Exercise 6.2 Question 13
On which option interval is f(x)=x¹⁰⁰+sin x−1 decreasing?
💡 Concept Hints
- Identify the domain and the inner and outer functions, or the relevant one-sided limits.
- Apply the appropriate differentiation or limit rule, keep all chain factors, and check exceptional points.
✅ Step-by-Step Solution
Final Answer: D: None of these.
- f′=100x⁹⁹+cos x. On (0,1) and (0,π/2), both terms are positive.
- For π/2<x<π, x>1 and cos x≥−1, so f′>100−1>0. The function is increasing, not decreasing, on every listed interval.
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