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NIMCET Previous Year Questions (PYQs)
NIMCET Increasing Decreasing Function PYQ
NIMCET PYQ
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NIMCET Previous Year PYQ NIMCET NIMCET 2024 PYQ
Consider the function $f(x)={x}^{2/3}{(6-x)}^{1/3}$. Which of the following statement is false?
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NIMCET Previous Year PYQ NIMCET NIMCET 2024 PYQ
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): $$\boxed{\text{f is decreasing in } (6, \infty)}$$
NIMCET PYQ
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NIMCET Previous Year PYQ NIMCET NIMCET 2020 PYQ
Find the interval(s) on which the graph y=2x3ex is increasing
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NIMCET Previous Year PYQ NIMCET NIMCET 2020 PYQ
Solution
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