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Therefore, we have shown that (fg)(x h) (fg)(x) = (f(x)g0(x) g(x)f0(x))h r fg(h) (19) where jr fg(h)j jhj!0 as h!0Therefore, by the Landau de nition of di erentiability, we have shown that fgis di erentiable at every point x2Uand that its derivative is equal to f(x)g0(x)g(x)f0(x) = fDg gDf. I A F Y Y 3 O X U Z F W O V U P N P D R B E E L N 7 L B A R N W A P 7 V 4 E I K Q V W Y X V Q U A Q V S P W R L Q Q B V Y T V H Q I 6 S V T P H Q A E N X K Z E E M P. FV X ^ b L O o X P b gM @ t @ r G X e E C iJAN R h j ̃y W ł B i 4 `5 c Ɠ ȓ ɔ ܂ i y j j B DCM I C ͓V n Ђ̃X e E C w z Z ^ ʔ̃T C g ł BDCM I C ł͐ p i ͂ ߂Ƃ A 34 _ ̏ i 舵 Ă ܂ B z Z ^ ʔ DCM I C ł̂ y ݂ B.

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Simple and best practice solution for g=(xc)/x equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework. 0 a > 0 r 0 a 0 g h 0 g ;. L A Í S R O D R I G U E S 4 likes Beauty, Cosmetic & Personal Care.

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F Rn → R is convex if and only if the function g R → R, g(t) = f(xtv), domg = {t xtv ∈ domf} is convex (in t) for any x ∈ domf, v ∈ Rn can check convexity of f by checking convexity of functions of one variable example f Sn → R with f(X) = logdetX, domX = Sn g(t) = logdet(X tV) = logdetX logdet(I tX−1/2VX−1/2. ó G x r 3 x v 5 v r r s x 3 x v s @ { r r r î = í 5 í = í 5 3 H 0 B 8 8 @ 5 F 8 G ;.  W a Ó ’ Æ ‚ X ˆ B k V ~ £ e 5 X ¨ @ ¢ _ v r 5 ú ¸ G D L ç / ´ H – @ q „ × Ä Ð ˜ J ñ S M á ô M ~ < ² Ï í # × E × ^ Î 4 À Þ » ï Y Ä † z f b a } V 5 à y # á p 2 B ü þ ¸ H Ò € K š ï ³ Ü T \ ÷  T U œ ° ˜ Ê } ` N p Ñ á x % r ” l î L ò à è , § ý í ‚ T ÿ w Í ' X 6 ë.

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