When f ‘(x) is negative, f(x) is
When f ‘(x) is negative, it means that the derivative of the function f(x) with respect to x is negative
When f ‘(x) is negative, it means that the derivative of the function f(x) with respect to x is negative. The derivative of a function represents the rate at which the function is changing at a particular point.
If f ‘(x) is negative, it indicates that the function f(x) is decreasing in value as x increases. In other words, as x increases, the values of f(x) are getting smaller.
Graphically, this means that the slope of the tangent line to the graph of f(x) is negative at those points. The tangent line represents the instantaneous rate of change of the function at a specific point, and a negative slope implies that the function is decreasing.
To summarize, when f ‘(x) is negative, f(x) is decreasing.
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