Advanced calculus; . lim y Ax = 0 Hence lim —— g Aa: = 0 Ax lim — = Ax = 0 Ax lim (y + Ay). Ax = 0 dAdx (43) Rollers Theorem and the Theorem of the Mean are two importanttheorems on derivatives which will be treated in the next chapter butmay here be stated as evident from their geometric Theorem states that: If a function has a derivative at every. Y V ^? A *r B 0 1

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