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Consider a twice differentiable function f , with f'(c) = 0 . Is the foll...

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Consider a twice differentiable function ff, with f'(c) = 0f'(c) = 0.

Is the following statement true or false?

If f''(c) > 0f''(c) > 0 then f'f' is increasing and the function graph is concave up, and if f''(c) < 0f''(c) < 0 then f'f' is decreasing and the function graph is concave down.

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