If f(x) is concave down, then f”(x) is?
If a function f(x) is concave down, it means that its graph is curving downwards or opening downwards
If a function f(x) is concave down, it means that its graph is curving downwards or opening downwards. This indicates that the rate of change of the function is decreasing as x increases.
To determine the second derivative of f(x), denoted as f”(x), we need to differentiate the function f(x) twice.
If f(x) is concave down, it implies that f”(x) is negative. This negative second derivative suggests that the function is decreasing at an increasing rate, or in other words, the slope of the graph is getting steeper as x increases.
Therefore, for a concave down function, f”(x) < 0.
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