Calculus Problems


CALCULUS PROBLEMS

1.   A function f(x) when modified gives g(x). Find all f(x) such that the same modification
applied to f'(x) will give g'(x)  .

2.  Find all f(x) that have the same roots as f'(x).

3.  For a given area A, find the shape with maximum/minimum perimeter Pmax/Pmin.

4.  For a given perimeter P, find the shape with minimum area Amin (apart from a rectangle).

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