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Question

In which of the following intervals
f(x)=2x315x2+36x+1 is monotonic decreasing-

A
(,2)
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B
(3,)
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C
(0,3)
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D
(2,3)
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Solution

The correct option is D (2,3)
f(x)=2x315x2+36x+1
Since, f(x) is monotonic decreasing , so f(x)<0
f(x)=6x230x+36<0
x25x+6<0
x(2,3)

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