True/False: Derivatives: Let f(x) and g(x) be two functions for which the 2nd derivatives are defined. Then (fg)''=f''g + fg'' .
I was thinking true, because of the basic product rule for derivatives. Can't even begin to explain why it would be false, but I was thinking it would be longer... something along the lines of f'g + fg' + f'g + fg' . However since the 2nd derivative is defined, I'm stuck between the T/F. Thanks for any help/comments.

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Ah so it was much longer, thanks.

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