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Consider the piecewise defined function f(x) = xa− xb if 0<x<1. and f(x) = lnxc if...

Consider the piecewise defined function

f(x) = xa− xb if 0<x<1. and

f(x) = lnxc if x≥1.

where a, b, c are positive numbers chosen in such a way that f(x) is differentiable for all 0<x<∞. What can be said about a, b,  and c?

Math   Calculus   
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