lecture notes on dierentiation atangent line to a function at a point is the line that best approximates the function at that point better than any other line the slope ...
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...Lecture notes on dierentiation atangent line to a function at point is the that best approximates better than any other slope of given tangent derivative f x m if exists denoted by all notations y dy df d dx dierentiable points in its domain i e dened for then we consider as and call it have been talking about called rst now dene second be or example c where constant because each zero however not there no unique following table derivatives some basic functions mx xa axa lnx rules g cf product rule fg quotient chain equation theorem extreme value continuous every closed interval assumes both an absolute maximum minimum somewhere denition which does exist critical values local global occur only endpoints examples find mean suppose s interior b least one facts increases this decreases wecan use key number method test signs weknow positive thus increasing also decreasing graph st open containing except possible changes from has concave up down inection concavity below picture illustrating ...