Let be a differentiable function whose derivative is given by for all real

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Let gg be a differentiable function whose derivative is given by g′(x)=x2−4x+3g'(x)=x^{2}-4x+3 for all real xx. On which interval is gg concave up? (a) (−∞,2)(-\infty,2) (b) (2,∞)(2,\infty) (c) (−∞,1)(-\infty,1) (d) (3,∞)(3,\infty)

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