How can we calculate derivatives of continuous functions? Write down algorithm and program for differentiating continuous function using two point forward difference formula.

For a continuous function f(x), the derivative at a point x is defined as: $$f'(x) = \lim{h \to 0} \frac{f(x+h) - f(x)}{h}$$ In numerical methods, we cannot take the limit analytically for arbitrary functions, so we approximate the derivative by choosing a small but finite step size h: $$f'(x) \a...