MATH 31B Lecture Notes - Lecture 6: Antiderivative
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Next up: # b, hw 3 posted. Lemmy : tx b = in (b) b " ( i. e . mcb 2 = in cb ) ) Pi : y = b (cid:15482) ency ) = in cb " ) = xln cb) Implicit diff (cid:15482) ty if = in cb ) (cid:15482) futz = in (b)y = in lb ) b" Ca) x. xx - i (b) ln cx) xx. Cd) idk or none of the above . icdiffatin . E : we take ix xx using logarithm: take in of, use implicit diff. Exe : y = xx (cid:15482) in ly ) = ln ( xx) = xlncx ) If i t. lncxitx. lt = lncxi- i both sides ( prod . Rule ) (cid:15482) data = y . (lncx) + i ) = x"" (cid:15482) xx=x4encxst# (ln anti ) . Trick : let y = (cid:15482) encgi-lnfx. it#) (cid:15482) in ly ) =p in (5) tlnccoscxs) -ln ( x3+1 )
