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I have been given the following assignment which has caused me some trouble:

The function [tex]f(x) = x^b \cdot e^{-x}[/tex] where [tex]b \in \mathbb{R}_{+}[/tex]

Determine if f has a minimum and a maximum, and find them.

I know that the first step is determine f'(x) which is

[tex]f'(x) = (\frac{b}{x} - ln(e)) \cdot e^{-x} \cdot x^b[/tex]

Any hints what I do next ?

Best Regards

Mathboy20

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# Urgend calculus question

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