When f ‘(x) is positive, f(x) is
When f ‘(x) is positive, it means that the derivative of the function f(x) with respect to x is greater than zero
When f ‘(x) is positive, it means that the derivative of the function f(x) with respect to x is greater than zero. This implies that the slope of the function at any point x is positive.
In other words, if f ‘(x) > 0, then f(x) is increasing. This means that as x increases, the corresponding values of f(x) also increase. The graph of f(x) will have a positive slope and will be moving upwards.
For example, consider the function f(x) = x^2. The derivative of this function is f ‘(x) = 2x. When x > 0, f ‘(x) = 2x > 0, indicating that the function is increasing. As x increases, the values of f(x) = x^2 also increase. The graph of f(x) = x^2 is an upward-opening parabola.
In summary, when f ‘(x) is positive, it means that f(x) is increasing and has a positive slope.
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