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...Calculus section the logarithm notes prepared by tim pilachowski in algebra precalculus classes you were handed on a silver platter as it items of information that had to wait until for formal proof we re now faced with much same situation regard function y ln x and its properties which have encountered several times our exploration so far begin treatment rational f is continuous next define all note particular g dt t dg theorem differentiable dx d since also implies uniqueness can lnx see text development graph including limits connection euler s number e example given find domain intercepts relative extreme values inflection points concavity asymptotes then draw one more important item prove fix b let bx bxdx bxb state c get bc this law logarithms introduced chapter your other be easily derived from natural used process called logarithmic differentiation ease products quotients involving multiple terms any lnf chain rule gx polynomial first derivative using take both sides use expand...