Free derivative calculator
[DOC File]AP © Calculus BC
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Concept of derivative, as slope and as instantaneous rate of change . Estimating derivatives, graphically and numerically. Geometry of derivatives, including extrema, local linear approximations, points at which the derivative is undefined. First derivative test. Tangent line to a curve. Second derivatives, relationship to concavity, inflection ...
[DOC File]Calculus - Steelton-Highspire High School
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Acceleration is the derivative of velocity with respect to time. If a body’s velocity at time t is , then the body’s acceleration at time t is. Free-fall Constants: English units: Metric units: E. xample. 3: Modeling vertical motion: A dynamite blast propels a heavy rock straight up with a launch velocity of 160 ft/sec (about 109 mph).
[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 BC Exam Format
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Answer: Yes. On Part A (the first two free-response questions), students are assumed to have a graphing calculator that can 1) graph a function, 2) numerically solve an equation, 3) numerically compute the value of a derivative at a point, and 4) numerically calculate the value of a definite integral.
[DOCX File]MATH 201 – CALCULUS I
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Calculator: A graphing calculator is required. TI-83 graphing calculator is recommended. If you are buying a calculator for this course, then a TI-84 Silver Edition is suggested. Instruction in class will be done using both. There are a limited number of calculators that can be signed out. Prerequisites
[DOC File]Related Rates - Tredyffrin/Easttown School District
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For each function, use the First and Second Derivative Tests to find the intervals where the function is increasing/decreasing/concave up/concave down, all extrema, and all points of inflection. Then, use that information to sketch the graph, labeling the important points. Feel free to use your calculator to check your sketches. 1.) 2.) 3.) 4.)
[DOC File]AP Calculus Free-Response Questions
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derivative f ‘ for selected points x in the closed interval -1.5 ≤ x ≤ 1.5. The second derivative of f has the. property that f’’(x) > 0 for -1.5 ≤ x ≤ 1.5. a. Evaluate Show the work that leads to your answer. b. Write an equation of the line tangent to the graph of f at the point where x = 1. Use this line to
[DOC File]1982 AP Calculus AB
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Before the days of calculator problems! Justify with the 1st derivative test (number line test). Notice the leading negative sign. (b) More factoring! Hence, I-pts at x = 1 and x = 3. 6. A tank with a rectangular base and rectangular sides is to be open at the top. It is to be constructed so that its width is 4 meters and volume is 36 m3.
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