positive derivative means the
function is increasing
positive derivative of a function means that the value of the slope of the function is positive. In other words, it represents that the function is increasing at that particular point. For example, if we have a function f(x), and the derivative f'(x) at a particular point x is positive, then it means that as we move forward from that point in the x-direction, the value of the function f(x) will also increase.
In graphical representation, a positive derivative means that the tangent line to the curve at that point is sloping upwards, indicating that the curve is moving upwards, or increasing, in that area. This can be seen as a positive slope on the graph of the function.
A positive derivative is also an indication of the local minimum as the function is increasing in that area.
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