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JEE Advanced Mathematics question

MathematicsApplication of DerivativesJEE Advanced

If has extremums at and then

Answer: (A)

Solution

For , , so .

f'(1) = 0:\ a + 2b + 1 = 0; f'(3) = 0:\ Missing argument for \frac\frac a3 + 6b + 1 = 0 \ ⇒\ a + 18b + 3 = 0.

Subtracting: $16b + 2 = 0 ⇒ b =

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Question ID VK-109399