Op-Amp Slew Rate/Gain-Bandwidth Product

[papkin]

Question
The op-amp selected for the unity gain inverter, has a gain-bandwidth product, and maximum slew rate at its output of 1V/μs[/b]
(i) Justify the statement that a high gain-bandwidth product necessarily leads to a high slew rate
(ii) The phase sensitive detector is expected to operate with a reference frequency set at 100kHz. Based on the slew rate given, determine a maximum rms voltage for input signals and explain your reasoning
My problem
Don't really know where can I get the gain-bandwidth product. I feel there's no need to present my attempt at a solution, because it's not the type of question that will require derivation or anything.
Thanks for your help (in advance)

 

[rude man]

An op amp outputs a voltage V₀sin(ωt). What's the maximum slew rate?

(I hate to muddy the water, but actually the statement is not necessarily correct. Hint: it depends on the max output voltage required).

 

[papkin]

Sorry, stupid question. Just needed to differentiation once.