If f(x) is decreasing, then f'(x) is?
f”(x) = negative
If f(x) is a differentiable function and it is decreasing, then its derivative, f'(x), must be negative.
This is because the derivative of a function measures the rate of change of the function at any given point. If the function is decreasing, then its rate of change must be negative, as it is decreasing at a certain rate. Therefore, the derivative function, f'(x), which measures the rate of change of the original function, must also be negative.
In summary, when a function f(x) is decreasing, its derivative, f'(x), is negative.
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