MATH 170 Midterm: MATH170 South Carolina Chapter 3 4 Exam
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Midterm examination 2 - math 141, frank thorne (thornef@mailbox. sc. edu) Please work without books, notes, calculators, or any assistance from others. If you have any questions, feel free to ask me. (1) draw a graph of a function which is not di erentiable, and geometrically explain why it is not di erentiable. Note: by not di erentiable i mean that there is at least one point at which the function is not di erentiable. (2) if g(t) = 1. T, nd g (t) using the de nition of the derivative. (3) find the 500th derivative of f (x) = x100. Explain your answer. (4) find dh d if h( ) = csc( ) + e cot( ). (5) the cardioid x2 + y2 = (2x2 + 2y2 equation of the tangent line to the curve at the point (0, 1/2). Use implicit di erentiation to nd the (6) a streetlight is mounted at the top of a 15 ft tall pole.
