Question

In: Advanced Math

Let f and g be two functions whose first and second order derivative functions are continuous,...

Let f and g be two functions whose first and second order derivative functions are continuous, all defined on R. What assumptions on f and g guarantee that the composite function f ◦g is concave?

Solutions

Expert Solution

There are two methods to prove the theorem after the consideration of assumptions(the assumptions remain same for both cases).For your clarity the proofs have also been included.You may skip them if you want.


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