Question:

The function f(x)=2x³-3x²-12x+4 has:

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Cubic functions generally have one max and one min.
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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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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