How to create a differentiation function ?

Question

Is there any way to create a function that will return the derivative of any function passed to it?
What is the general way to do it??

Answer 1

I don't think it's possible. But with a little effort, you can do it for simpler functions.

Answer 2

Consider a(x)^b for example. Scan the input as a string and extract a, b values and apply the formula. This is not even 1% of differentiation though. As far as my knowledge goes, we can't do differentiation.

Answer 3

But how, sir?
I mean, is if-else the only way?
Maybe there's an algorithm or some formula?

Answer 4

But there is NumPy in Python which has a diff() function for derivative...
It can give an answer for any function, polynomial entered...
Now I wonder, how did they make that?

Answer 5

@JPM7
Thank You!!!