How do I take a derivative of a function?
Depends on what the function is. There a multiple ways a derivative can be taken based off the complexity for a function for example if you have a function f(x) -> x the derivative would be 1. The way you do this is by using something called the power rule. Taking the exponent of a function bringing the exponent down and subtracting one from it. Let’s take the function x^2. We bring 2 down and subtract 1 from 2 making the derivative 2x. Now if you have a function inside of a function like for instance cos(sin(x)) you would have to use something called the chain rule.
GIve me some ideas for initial prompts Sure! I'm capable of answering both simple complex questions, here's a few questions I'd be more than happy to answer;
 - What is the capital of France?
 - Who signed the US Declaration of Independence?
 - How do you take the derivative of a function?
 - What is linear algebra?
 - How does quantum computing work?