Problem : Find the second derivative of f (x) = x 3 .We begin by computing the first derivative:
Problem : For which value of x is f''(x) = 0 , if f has the following graph?
Problem : Find all functions f (x) such that f''(x) = 0 .The second derivative being zero means that the slope of the graph of the function is constant for all x . The only graphs for which this is true are the lines, so f (x) = mx + b for some constants m and b .
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