Second Order Derivation - AP Calculus - Lecture Notes, Study notes of Calculus

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1/2 Calculus Section 4.4C Notes Learning Targets... 1. Apply 2" FTC LT: Apply 2"9 FTC « If fis continuous on an open interval J containing a, then for every x in the interval: [ ra] = re d ax e (Basically, this means that integration & differentiation are inverse processes.) Integrate to find f(x), then differentiate & compare to the ane FTC. 1) x f= Ja +¢*)dt 0 K(x) = [e+ £47]. t + Lor ¥+a¥ [s'xy=t+x' | Use 2™ FTC to find F’(x). 2) = F(x) = [i + 2t dt 2