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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Consider the function $f(x)={x}^{2/3}{(6-x)}^{1/3}$. Which of the following statement is false?
Solution
Given Function: $$f(x) = x^{2/3}(6 - x)^{1/3}$$
- 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): $$\boxed{\text{f is decreasing in } (6, \infty)}$$
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