Sofa Moving Problem

or If the Movers Had Been Mathematicians

More Mathematics

The differentiation of the function

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is not an easy and enjoyable task.

We can harness GeoGebra again to explore the above function.

Explore the above function for x>0 in the dynamic worksheet.
If a = 0.8 and b = 0.8, which is the minimum of the function?

Tips and Tricks.
Since x represents the length of the pole, it should be greater than zero.
Define two parameters (sliders) a and b and in the Input bar type in:
Function[sqrt((a + x)^2 (b + a / x^2)), 0, 10]
This restricts x to vary from 0 to 10. The parameters should also be greater than zero (why?).

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