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प्रश्न
The function f(x) = x log x is minimum at x = ______.
विकल्प
e
`1/e`
1
`-1/e`
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उत्तर
The function f(x) = x log x is minimum at x = `underlinebb(1/e)`.
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Solution: f(x) = x3 – 9x2 + 24x
∴ f'(x) = `square`
∴ f''(x) = `square`
For extreme values, f'(x) = 0, we get
x = `square` or `square`
∴ f''`(square)` = – 6 < 0
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∴ Maximum value = `square`
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