Original
Hey Riley, remember the sum rule for derivatives?
{{CMD_7}} You know I do.
{{CMD_8}} What do you think that the ``product rule'' will be?
{{CMD_9}} Let's give this a spin:
{{MATH_10}}
{{CMD_11}} Hmmm, let's give this theory an acid test. Let's try
{{MATH_12}}
Now
{{ENV_13}}
{{CMD_14}} On the other hand,
{{ENV_15}}
{{CMD_16}} And so,
{{MATH_17}}
{{CMD_18}} Wow. Hmmm. It looks like our guess was incorrect.
{{CMD_19}} I've got a feeling that the so-called ``product rule''
might be a bit tricky.
{{CMD_20}}