Slope of deflection of beam at center

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The discussion centers on the confusion regarding the slope of deflection of a beam at its center versus at its boundary. One source claims that the derivative of deflection (dy/dx) at the center is zero, while another states it is zero at the boundary. This discrepancy raises questions about the correct interpretation of beam deflection principles. Participants are seeking clarification on which statement accurately reflects the behavior of beams under load. Understanding these concepts is crucial for solving related engineering problems effectively.
fonseh
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Homework Statement


in the first photo , it's stated that the dy/dx at center = 0 , however , in the second photo (website) , it's stated that the dy/dx at the boundary = 0 ,which is correct ? I'm confused now
http://www.geom.uiuc.edu/education/calc-init/static-beam/support.html

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