MATH 1551 Midterm: MATH 1551 GT 1551Fall151551Practice2
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This exam contains 6 pages (including this cover page) and 5 questions. Formal symbols crib sheet inverse function limit as x approaches a composition of functions f : a b function with domain a & codomain b n f g. 7 limit from below limit from above subset of intersection maps to d dx natural numbers integers rational numbers real numbers open interval a to b closed interval a to b element of union derivative. 18 september 2015: consider h(x) = arctan(5x + 2). (a) (6 points) find the third derivative h (x). (b) (6 points) h is invertible for x > 1. Compute the value of the inverse derivative (h 1) evaluated at h(1). 18 september 2015: consider the piecewise de ned real function g g(x) = x2 + 4x + 4. Find the equation of the line tangent to the hyperbola at the point (cid:16) 7.
