Math 1111 Calculus (I)
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fb−fa b−a =f′c Theorem Rolle’s Theorem If f is continuous on[a,b]and differentiable ona,bwith fa =fb, then there exists a number c ∈a,bs.t... Theorem M.V.T If f is continuous
Advanced Calculus I WEN-CHINGLIEN Department of Mathematics National Cheng Kung University WEN-CHINGLIEN Advanced Calculus I... Theorem Chain Rule Let f and g be real
4.4 Monotone Function and The Inverse Function Theorem Definition Let E be a nonempty subset ofRandf :E →R.. i f is said to beincreasingrespectively,strictly increasing on E if and
A similar argument establishes the reverse implication.2 WEN-CHINGLIEN Advanced Calculus I... The chord from c,fcto d,fd has slope fd−fc d
Calculus I WEN-CHING LIEN Department of Mathematics National Cheng Kung University
Taking the limit of this inequality ask → ∞, we obtain j≥Ninfxj ≤x ≤sup j≥N xj Taking the limit of this last inequality asN → ∞and applying Definition 2.32, we obtain7... FixN ∈Nand
Calculus I WEN-CHING LIEN Department of Mathematics National Cheng Kung University 2008 WEN-CHINGLIEN Calculus
2Minimizing Material Aluminum soda cans are shaped like a right-circular cylinder, and hold about 1 liter.. Production of aluminum requires a lot of energy, so it is desirable to
