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Phrases Previous Year Questions (PYQs)
Phrases Increasing Decreasing Function PYQ
Consider the function f(x)=x2/3(6−x)1/3. Which of the following statement is false?
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Solution
Given Function: f(x)=x2/3(6−x)1/3
- f is increasing in (0, 4): ✅ True
- f has a point of inflection at x = 0: ✅ True
- f has a point of inflection at x = 6: ✅ True
- f is decreasing in (6, ∞): ❌ False (function not defined there)
Correct Answer (False Statement): f is decreasing in (6,∞)
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