Prove that the function xne?x reaches its maximum value at

Chapter , Problem 11P

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QUESTION:

Problem 11P

Prove that the function xnex reaches its maximum value at x = n.

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QUESTION:

Problem 11P

Prove that the function xnex reaches its maximum value at x = n.

ANSWER:

Solution to 11P

Step 1

We have to prove that xne-x reaches maximum value at x=n.

To prove that we use the maxima of the function

Let f(x)= xne-x 

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