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# Let / : R - R be a continuously differentiable function. If x* is a solution to max,zo / (x). then f (at) = 0.

1) Those are two related practice questions please give me an answer for them so I can get a good idea of what I have to do with similar questions.    1. Let / : R - R be a continuously differentiable function. If x* is a solution to
max,zo / (x). then f (at) = 0. Question ]
For each of the following . explain It the statement is true or false . It false , then provide a
counter- example. If true , then briefly Explain. Q1 -1 : FOC
Consider a ditterentlable one—variable function ﬁx) defined on [0,1], and let 3’ be a global maXImiser. 1, Suppose some claims “The ﬁrst-order condition Is 3&quot; (2’) = 0, &quot; What is wrong with this statement? 2. Can you write down the set of global maximiser argmax formally? 3, Suppose that h be a weakly increastng function from R a R If some one claims that argmax ﬁx} = argmmch(f(a:)) how do you respond? It this statement is incorrect, provide a correct
statement, 39,, no—relationship in general; one include the other; intersection is non—empty, yet no set—inclusion In general etc,

#### Top Answer

The way to approach this... View the full answer \Date
The condition for * * to be
Global manimiser that \$ ' ( x* ) = 0
is wrong .
This is only true when * * 6 ( 0 , 1)
But Global menima can also be
achieved at end points . It that
points
not be...

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