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This document appears to be a quiz for a calculus class, containing 4 questions. The first question asks students to use the limit definition of the derivative to determine if the derivative of the function f(x) = |x|(x - 1) exists at 0, explaining why if it does not. The next 3 questions ask students to find the derivatives of various functions: a) f(x) = x/(x-2), b) f(x) = (x^3 + 5)(x^3 + x + 1), c) f(x) = π/e, and d) f(x) = 1/3x.

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m

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EN