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For the function y=f(x)=(x^2+bx+c)e^x, w...

For the function `y=f(x)=(x^2+bx+c)e^x`, which of the following holds ?

A

If `f(x)gt0` for all real `x!=f'(x)gt0`

B

If `f(x)gt0` for all real `xrArrf'(x)gt0`

C

If `f'(x)gt0` for all real `xrArrf(x)gt0`

D

If `f(x)gt0` for all real `x!=f(x)gt0`

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The correct Answer is:
A, C
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