Second derivative, tangents and asymptotes

  Second derivative, tangents and asymptotes   Use the meaning of g’’(x) as the derivative of g’(x) to explain why, when g’’(x) ˃ 0 that the lines tangent to y ＝ g(x) are below the curve. Also suppose y ＝ g(x) has a horizontal asymptote of y ＝ 2 as x à ∞ and for x ˃ 0, g(x) ˃ 2. Use the meaning of g’’(x) as the derivative of g’(x) to explain why g’’(x) ˃ 0 for x ˃ 0. Use a graph to support your essay. (You are welcome to talk about concavity, but you need to use the meaning of g’’(x) as the derivative of g’(x).