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SECTION - B In this Section attempt any 16 questions out of the Questions 21-40. Each question is of one mark .
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Question : 21
Total: 50
The function f ( x ) = 2 x 3 − 15 x 2 + 36 x + 6
Solution: 👈: Video Solution
Explanation: Given, f ( x ) = 2 x 3 − 15 x 2 + 36 x + 6
∴ f ′ ( x ) = 6 x 2 − 30 x + 36
Itf ′ ( x ) ≥ 0 f ( x )
So,6 x 2 − 30 x + 36 ≥ 0 or, x 2 − 5 x + 6 ≥ 0
or, ( x − 3 ) ( x − 2 ) ≥ 0
∴ x ∈ ( − ∞ , 2 ] ∪ [ 3 , ∞ )
It
So,
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