No, you don't know that- that makes no sense because you haven't said what f is. It is also true that the minimum (or maximum) of any function occurs when the derivative of that function is equal[\b] to 0 (not > 0).dsb_101 said:A line through the point (2,2) cuts the x- and y- axes at points A and B respectively. Find the Minimum length of the segment AB.
Im really stuck on this problem. I know that minimum lengh is when f'>0.
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This statement means that the minimum length of a function occurs when its derivative, or rate of change, is greater than 0. In other words, the function is increasing at its minimum point.
The derivative tells us the rate of change of a function at any given point. When the derivative is greater than 0, it indicates that the function is increasing and therefore, the point is a minimum. This helps us identify the exact location of the minimum length of a function.
Yes, it is possible for a function to have multiple points where its derivative is greater than 0. In these cases, each point would represent a local minimum length, but only one point would be the absolute minimum length of the function.
In real-life applications, the concept of minimum length can be used to optimize processes and minimize costs. For example, in manufacturing, companies want to find the minimum length of materials needed to produce a product in order to reduce waste and save money.
Yes, there are some cases where the minimum length of a function does not occur when its derivative is greater than 0. This can happen when the function has a discontinuity or when the function is not differentiable at the point of interest.