MATH 19 Midterm: MATH 19 Exam 2 Winter 2012

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9 Jan 2019
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This is a closed book and closed notes exam. Calculators and any electronic aid are not allowed. For each problem, you should write down all of your work carefully and legibly to receive full credit. When asked to justify your answer, you should use theorems and/or mathematical reasoning to support your answer, as appropriate. I understand and accept the provisions of the stanford honor code. Problem 1 : (13 points: (5 points) let f : r r be a function. Write down the de nition of the derivative of f at the point x = a, where a is a real number: (3 points) suppose that f : r r is di erentiable at x = a. If you cannot give such a function, for a maximum of 3 points you may draw the graph of a function f that is continuous but not di erentiable at a point.