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does max deflection ALWAYS occur at the same location of the max bending moment?

thanks for the responses in advance

PS heres some more details if you need them:

using the 4th derivative method for finding deflection/ slope, i found the second derivative (which should be the moment) and found where it is maximum (using a graphing calculator). the question uses variables instead of number, but that shouldn't matter. later on in the solution to the problem, it says that the maximum deflection is at a different place than i calculated for the max bending moment.

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this makes absolutely no sense to me, unless:

i made a mathematical mistake (unlikely, i checked my work repeatedly)

the location of the max BM is not the same as the location of the max deflection.

ill type up my work if its necessary