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Let f(x) = x sqrt(4ax - x^(2)), (a gt 0)...

Let `f(x) = x sqrt(4ax - x^(2)), (a gt 0)`. Then f(x) is a)increasing in (0, 3a), decreasing in (3a, 4a) b)increasing in (a, 4a), decreasing in `(5a, oo)` c)increasing in (0, 4a) d)None of these

A

increasing in (0, 3a), decreasing in (3a, 4a)

B

increasing in (a, 4a), decreasing in `(5a, oo)`

C

increasing in (0, 4a)

D

None of these

Text Solution

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The correct Answer is:
A
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