Question: 6. In the pre-class video 6.13, we define a twice-differentiable function f to be (strictly) concave up on (a, b) if f' is (strictly) increasing

6. In the pre-class video 6.13, we define a twice-differentiable function

6. In the pre-class video 6.13, we define a twice-differentiable function f to be (strictly) concave up on (a, b) if f' is (strictly) increasing on (a, b). Prove the following statements: (a) If f is concave up on (a, b), then Vc E (a, b), 3d E R such that Vx E (a, b) f(x) > d(x -c) + f(c) (1)

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