What are the critical points of $f (x) = x^{2} e^{x} + \frac{2}{x^{2}}$ $f(x) = x^2e^x + 2/x^2$ ?

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Answer 1 · 2018-01-10T22:09:44

There is one critical number. It is approximately #0.873

$f'(x) = 2xe^x+x^2e^x-4/x^3$

Using approximation or technology, we find that

$f'(x) = 0$ at about $0.873$

What are the critical points of f(x) = x^2e^x + 2/x^2f(x)=x2ex+2x2f(x) = x^2e^x + 2/x^2?