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Class 12 Applications Of Derivatives · Mcq Single Correct1 Marksmonotonicity

Class 12 Maths · Applications Of Derivatives · Mcq Single Correct #11

For f(x)=2x³−15x²+36x+6, identify all maximal open intervals on which f′(x)>0.
Derivative sign chart (mcq 11)
Derivative sign chart (mcq 11)

✅ Step-by-Step Solution

Final Answer: Option (A): (−∞,2) and (3,∞)
  1. f′=6(x−2)(x−3)>0 for x<2 or x>3. It is zero at 2 and 3.

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