F’>0 Condition: Positive Derivative, Increasing Function

f’>0

f is increasing

The statement f’>0 means that the derivative of the function f is greater than zero. This means that the slope of the function at any point is positive, indicating that the function is increasing.

For example, consider the function f(x) = x^2. The derivative of this function is f'(x) = 2x. Now, if we take any value of x greater than zero, the derivative will be positive. This means that the slope of the function at that point is positive, and the function is increasing.

Graphically, this can be represented by a graph that slopes upward from left to right. In other words, as x increases, the value of f(x) also increases.

It is important to note that this condition is only true for a specific interval of x-values. We cannot make a general statement about the behavior of the entire function without knowing more about it.

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