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I'm looking for a way to automate something along these lines: Find the derivative of f(x) = x² from first principles:: f'(x) = lim h->0 [f(x+h) - f(x)]/h = lim h->0 [(x+h)² - x²)]/h = lim h->0 [(x² + 2hx + h² - x²)]/h ...