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

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

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

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

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

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

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The correct Answer is:

A, C

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