college algebra

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Find the maximum or minimum for f(x)=3x^2+x+1

• college algebra -

using Calculus ...
f'(x) = 6x + 1

6x+1 = 0
x = -1/6
f(-1/6) = 3(1/36) - 1/6 + 1 = 11/12

since the parabola opens upwards,
the minimum value is 11/12

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