Calculus

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Find the Critical Numbers?
1.) f(x) = 2x^3 + 3x^2 + 36x
x=?
2.) g(t) = |5t − 4|
t=?

  • Calculus -

    No ideas at all?

    Critical numbers are min, max, point of inflection, roots

    min and max occur where f' = 0
    inflection is where f'' = 0 and f' ≠ zero

    The absolute value problem is tricky, since you can't rely on f' to get the min/max.

    Observe, however, that |5t-4| is always at least zero.

    It is zero only where 5t-4 = 0.

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