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20 Derivate funzioni composte

Study material for Analisi e geometria 2, shared by the Studwiz community and reviewed by moderators.

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LEZIONE20 - 8:5-2023 FORMULEDI CALCOLPER DERIVA TE ·D(xf+ hg)=xD++ nq · (fg)= gxf+ fxg · x()= fr TEOREMADIDERIVAZIONEFUNZIONECOMP.I InAnalisis- fog(t)= f(g(t)) (208)=t(g(t)to oanche of(xct))===a(este)o InAnchisi2-lox poscianocomporre! UEIR -(t)- t +: A -I T- potesi:n I · s(t)derivabileinto H·(t) = 1 At6I ·f:n -> i differenziabilein[(to) th.Fallraf(vCt))= g(t)èderivabileinto g(t)= xf(v.)).(to) CPOLARIO- (gradiente1lineadilvell Inter2,= 45cD(f(x)= c]Hp.it L,e vicinoadsi LamiarappresentatedaFCH):I = It.-3,t.+21-> Dtaleche 5Ct)=x etregolare. Th.[AlloraDf(x)1 Fitol(cioé1al rettoretangentea5intol Dim f(5(t))=C t+ c [t- 2,t+ 2]sperpartec *f(E(t))=0 = x f(w(tr)(tr)-Tat io teoremeartgonalcivésenoautogonali.into - E ⑳*nexband.Iliedilivelle Esercizioconclusivo:(provarea caso,pra esercizza

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