MATH 1200 Study Guide - Midterm Guide: Mean Value Theorem, Product Rule, Quotient Rule

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Instructions: there are six pages total, including this page. Please ensure that you are not missing any: non-programmable calculators are allowed. No other aids may be used: you have 60 minutes to write this test. Important: your solution to each question must be contained to the space on its designated page. Please ensure that you ll in your nal answers in the boxes provided at the right side of the page. If f (t) = sec(4t + 1), nd f (t). If y = 3x sin(x 2), nd y . If g(x) = ln(x), nd d2g dx2 . If x2 + y2 = 77, nd an expression for dy dx. A7. f has a cusp at x = a. Must f be continuous at x = a? (yes or no) State any interval of x values on which the mean value theorem could be applied to the function f (x) = tan(x).

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