Calculus, 9th edition
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The beam deflection is .
Where is length of the beam.
Apply derivative with respect to .
Find the relative extremas by equating the first derivative to zero.
Find the maximum deflection using second derivative test.
Apply derivative with respect to .
Substitute in .
.
So the function has minimum value at .
Substitute in .
So the function has maximum value at .
The function has maximum value at .
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