When f ‘(x) is negative, f(x) is
When f ‘(x) is negative, it means that the derivative of the function f(x) is negative
When f ‘(x) is negative, it means that the derivative of the function f(x) is negative. The derivative measures the rate of change of the function at a particular point. So, if the derivative is negative, it indicates that the function is decreasing at that point.
In other words, when f ‘(x) is negative, the slope of the function f(x) at that point is negative, or it is sloping downwards. This implies that as x increases, the corresponding values of f(x) decrease.
For example, let’s consider the function f(x) = x^2. The derivative of this function is f ‘(x) = 2x. When x is positive, the derivative is positive, indicating that the function is increasing. However, when x is negative, the derivative is negative, indicating that the function is decreasing.
In summary, when f ‘(x) is negative, it means that the function f(x) is decreasing or sloping downwards.
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