Barrons AP Calculus - David Bock

(dmanu) #1

  1. (D) The slope y ′ = 5x^4 + 3x^2 − 2. Let g = y ′. Since g ′(x) = 20x^3 + 6x = 2x(10x^2 + 3), g ′(x) = 0
    only if x = 0. Since g ′′ (x) = 60x^2 + 6, g ′′ is always positive, assuring that x = 0 yields the
    minimum slope. Find y ′ when x = 0.

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