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.
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