This video demonstrates how to solve functional equations by differentiating both sides with respect to x, showing that f(x)·f'(0) = f'(x) is a key relationship derived from the limit definition of the derivative.
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Functional Equations Using Derivatives 🔥 | Full Concept | Sunder SirAdded:
f of x into f of0 upon f of x common or into limit h approaches to zero of f of h - f of 0 upon f - x= this is nothing but this is fd0 fd - x= f ofx into fdash of 0 fdx or f ofx relation
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