M-161Q Midterm: MATH 161 Montana State FExF10
Document Summary
Do not simplify answers: find each of the following limits, if they exist. If the limit equals , indicate so. (a) lim x 4 ln x2 1 (b) lim x 4 x2 16 x 2 x 12 (c) lim x . 1 x 3 (d) lim x 3 f x where f x ={ x 2 if x 3. 2x 2 if x 3: use the limit definition of the derivative to find f " 3 when f x = 1. 1 x 2 (c) h x = ln [ x 3 4 2 4x 1 ] (d) k x = e ln 2: use logarithmic differentiation to find y " when y = X 7 5: for f x =2x 3 9x 2 24x 1 (show all necessary work. ) (a) find all critical numbers of f x . (b) find all relative extrema of f x . The x-value of the relative maximum of f x is ________.
