MAT 122 Midterm: MAT 122 SBU Midterm
31 Jan 2019
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If f (x) is an antiderivative for the function f (x) (i. e. , f (x) = f (x)), then r b. F (a). a f (x) dx = f (b) : let h be a function of p. write the newton notation for the second derivative of h. write the. Leibniz notation for the second derivative of h. They are h (p) and d2h dp2 , respectively: give as many interpretations for the derivative as you can. Slope of the tangent line at a point. Instantaneous rate of change: give as many interpretations for the de nite integral as you can. The rst is a de nite integral, and represents a single number, which we can interpret as above. The point x = a is a local extremum if the value of the function is larger or smaller at a than at all x-values near a.
