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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,∞)

Find the interval(s) on which the graph y=2x3ex isincreasing





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Solution


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