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If the graph of a function f(x) has relative maximum x = a, which one of the following statements is true? Second order derivative

 

If the graph of a function f(x) has relative maximum x = a, which one of the following statements is true? Second order derivative of the function changes its sign from negative to positive for x a respectively. First order derivative of the function changes its sign from negative to positive for x a respectively. First order derivative of the function changes its sign from positive to negative for x a respectively. Second order derivative of f(x) at x = a is always zero.

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