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the function f x 2x 3x 12x 4 has
Question:
The function f(x)=2x³-3x²-12x+4 has:
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Cubic functions generally have one max and one min.
BITSAT - 2011
BITSAT
Updated On:
Mar 18, 2026
two points of local maxima
two points of local minima
one maxima and one minima
no maxima or minima
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Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
Step 1: First derivative.
f'(x)=6x²-6x-12
Step 2: Critical points.
Two real roots exist.
Step 3: Nature.
One gives maxima, other minima.
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