MATH 241 Midterm: Midterm Topics

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This sheet is simply a list of of topics you should know for the rst midterm. Be able to use them to compute limits: know and be able to apply the de nition of continuity of a function at a point a, one-sided limits. Particularly as it applies to determining if a function is discontinuous: compute the slope of secant lines to approximate the slope of the tangent line. 2 + x, etc. : compute derivatives of functions using the de nition (x, give the equation of a tangent line if it exists, interpret information about derivatives, tangent lines, and secant lines in terms of a rate of change. 2, x, 1 x , x (average rate of change versus instantaneous rate of change. : understand continuity of piecewise de ned functions, understand how position and velocity related.