MAC 2311 Midterm: MAC 2311 FIU Exam 209pmk
15 Feb 2019
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Prof. s. hudson: [30 pts] compute the derivative, f (x) (shortcuts such as the product. Rule are ok for these, but show all work): f (x) = x sin(x2, f (x) = tan 1(2x, f (x) = How fast is the length of his shadow decreasing : [10 pts] find the slope of the tangent line to y = x2 at x = 4, using the de nition of mtan. So, you will need to compute a limit. Do not use any methods beyond ch 3. 1, such as derivative shortcuts: [15 pts] answer true or false. If f is di erentiable, then f is continuous. [using notation from the lla section] y = dy. If f is continuous (on its domain), then f 1 is continuous (on its domain). dx dx. 1: [10pts] compute these limits from ch 2. 6. Do not use lhopital"s rule: limx + cos(1/x) e3x, limx 0.
