MATH 1551 Midterm: MATH 1551 GT 1551Fall151551PracticeExam4
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This exam contains 7 pages (including this cover page) and 5 questions. 7 limit from below limit from above subset of intersection maps to d dx derivative with respect to x. For constant a r and arbitrary real functions f and g. Function derivative function derivative a f + g f g f 1 ax sin x cos x tan x arcsin x arccos x arctan x sinh x. 0 f + g f g f g g2. 1 f f 1 ax ln a cos x. 1 af f g f g xa loga |x| csc x sec x cot x arccscx arcsecx arccotx cosh x af f g + f g (f g)g axa 1. Csc x cot x sec x tan x. A = xy + xp(y/2)2 + h2 + yp(x/2)2 + h2. 1. (a) (3 points) state the extreme value theorem. (b) (6 points) x f (x)
