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electrochika
 4 years ago
What are all values of x for which the function f defined by f(x) = (x^2  3)e^x is increasing?
electrochika
 4 years ago
What are all values of x for which the function f defined by f(x) = (x^2  3)e^x is increasing?

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electrochika
 4 years ago
Best ResponseYou've already chosen the best response.0Answers are: a. There are no such values of x b. x<1 and x>3 c. 3<x<3 d. 1<x<3 e. All values of x

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0your job is to solve \[f'(x)>0\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[f'(x)=e^{x}(x^2+2 x+3)\] and we can ignore the \[e^{x}\]part because that is always positive

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so really you have to solve \[x^2+2x+3>0\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0zeros are at 1 and 3, so answer is \[1<x<3\]

electrochika
 4 years ago
Best ResponseYou've already chosen the best response.0You're the best thanks!
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