Estimating a derivative

    • [DOC File]AP Calculus Assignments: Derivative Techniques

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      From Chapter 2 Engineering Costs and Cost Estimating. ... To find the number of devices the company needs to sell per month, we take the first derivative of the profit equation and set it equal to 0. After taking the first derivative, double-check that your answer is a maximum by taking the second derivative. Recall from calculus that maximums ...

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    • [DOC File]From Chapter 2 Engineering Costs and Cost Estimating

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      Aug 07, 2013 · Estimating limits from graphs or tables of data. Estimating limits numerically and graphically. Asymptotic and unbounded behavior. Understanding asymptotes in terms of graphical behavior. Describing asymptotic behavior in terms of limits involving infinity. ... Students also will work in sketch the graph of the second derivative of f (f”).

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    • [DOC File]Derivation of the Ordinary Least Squares Estimator

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      Consider the function f(x) = x2. We want to find the derivative of f(x) at the point (2, 4). First graph the function, and draw a rough tangent line to the graph. Approximate the slope of the tangent line by visual inspection (you are estimating the derivative of the curve by doing this).

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    • [DOC File]The Definition of the Derivative

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      c. Hypothesize a general rule about the derivative of a continuous function f and the invertibilty of f. d. Use calculus to prove that the function f(x) = x3 + 4x – 5 has an inverse function. e. Use calculus to prove that g(x) = x3 – 4x – 5 is not invertible (unless we restrict the domain).

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    • [DOC File]Derivatives

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      Y’Y does not include , therefore, the partial of Y’Y w.r.t. is zero. The second term, , is a linear term in . Recall, X’Y is considered a given or constant. Therefore, the derivative of this term is . The last term, , is simply a squared term in with X’X as constants. The derivative of a squared term is found using the power rule.

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    • Posterior Contraction Rates of Density Derivative Estimation

      Estimating the Integral Function when the Anti-Derivative Cannot be Found Algebraically If an integral [ F(x) ] cannot be found algebraically, we can still find values of the integral function by estimating the area under the curve of f(x).

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