To start with, you may note that
by the Product Rule. By linearity,
There's a problem that our professor wanted us to look at and I'd really like to understand it. It says
"Let f and g be twice differentiable functions. Derive a formula for (fg'') = [(fg)']' using your knowledge of differentiation rules."
We know about the power rule and chain rule and all that fun stuff .. I guess I'm not sure what she's asking.
Am I trying to apply these rules to "[(fg)']'" to make it look like (fg'')? If I am, I don't know how I would even start that.
Any help would be appreciated.