First derivative calculus
[DOC File]CALCULUS BC - Shelby County Schools
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FROM: Printup, BC Calculus Teacher. Attached is a summer homework packet, which will be due the first day of Calculus class in August. The material in the packet should be material you learned in Algebra II and Precalculus. You will turn in the packet the first day of Calculus class, and it will count as a TEST grade. During the first week of ...
[DOC File]AP Calculus
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AP Calculus. Review #2 Notes. Position: s(t) or x(t), aka location. Displacement: How far you are from where you started. s(1) = 6 and s(4) = 10, displacement is 4. We discussed the sign of displacement. For right now, we’ll say it can be either neg. or pos. Velocity: v(t) Can be either negative or positive. It is the first derivative of ...
[DOC File]AP Calculus Free-Response Questions
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AP Calculus Free-Response Questions. BC 2000-present. AP Calculus Free-Response Questions Calculator Questions are Highlighted. 2000 420. The Taylor series about x = 5 for a certain function f converges to f(x) for all x in the interval of convergence. The nth derivative of f …
[DOC File]AP Calculus Assignments: Derivative Techniques
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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). 8. Kenny had to take the derivative of . He wrote .
[DOC File]Assignments Differentiation
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a. Kenny first said at t = 3 because the y-value is higher there. What happened? b. Kenny then said at t = 3 because the graph is steeper there. What happened? AP Calculus HW: Derivative Concepts - 3. 1. Find each derivative without using your calculator; then use nDeriv to check your answer. a. Find f '(2) for ƒ(x) = x3. b. Find f '(3) for ƒ ...
[DOC File]Optimization Problems (Calculus Fun)
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Optimization Problems (Calculus Fun) ... the First Derivative Test, or the Second Derivative Test. 1. Find 2 numbers whose sum is 20 and whose product is as large as possible. 2. A sheet of cardboard has length 25 inches and a width of 20 inches. Fold it in a way …
[DOC File]Practice Exercise Sheet 1 - Trinity College Dublin
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Title: Practice Exercise Sheet 1 Author: cwhelan Last modified by: TCD User Created Date: 10/3/2005 3:49:00 PM Company: UCD Other titles: Practice Exercise Sheet 1
HONORS PRECALCULUS
Find the derivative of . SOLUTION. Using the Product Rule, we have: REMARK . Note that the derivative of a product of two functions is not (in general) given by the product of the derivatives of the two functions. To see this, try comparing the product of the derivatives of and with the derivative …
[DOC File]Calculus Review
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Find dy/dx (first derivative) for the following functions. (j) What does the first derivative measure? 3. Because the first order derivative is, in general, a function of the variable x, the first derivative is itself differentiable with respect to x, if it is continuous and smooth. Higher order derivatives are the derivative of the derivatives.
[DOCX File]Calculus I
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First Derivative Test Enrichment Worksheet: “Mean Value Theorem” Worksheet HW 3.3: “Increasing and Decreasing Functions & The First Derivative Test” 1-13 all
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