Second derivative calculator parametric

    • [DOC File]AP Calculus BC Syllabus

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      First derivative test for extrema. Concavity and points of inflection. Second derivative test for extrema. D. Optimization problems. E. Related rates. F. Visualizing motion using parametric equations and the calculator. G. Graphical antidifferentiation. Given a derivative of a function, sketch the original function. Given a function, sketch its ...

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    • [DOCX File]Mrs. Traylor's Class

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      Also, if time allows, implicit functions are graphed in the calculator, showing tangent lines passing through unique points on the curve. Particle motion along a horizontal line is looked at from the graphing calculator. Parametric equations are used to better show when a particle changes direction, slows down, and speeds up.

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    • [DOC File]apcalculus.tistory.com

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      The formulas for the first derivative and second derivative of a parametrically defined curve are given below. Parametric Equations. A system of equations with more than one dependent variable. Often parametric equations are used to represent the position of a moving point. Parametric Integral Formula. See Area Using Parametric Equations ...

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    • [DOCX File]www.ocps.net

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      During the 2nd and 3rd quarter we will review precalculus topics and examine the calculus that goes along with them like vectors, parametric, polar, and series. All students enrolled in AP Calculus BC should complete this summer assignment. All answers must be justified with work (algebraically, graphically or verbally).

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    • [DOC File]MR. G's Math Page

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      and the second derivative is given by . Ex. 1 (Noncalculator) Given the parametric equations, find in terms of t. _____ Ex. 2 (Noncalculator) Given the parametric equations, write an equation of the tangent line to the curve at the point where _____ Ex 3 (Noncalculator) Find all points of horizontal and vertical tangency given the parametric ...

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    • Parametric Equations

      The first component of the vector represents the horizontal distance covered by the ball and the second component represents the height of the ball. Set the calculator to parametric mode/degrees. Go to Y= and type in the x and y components. Try letting =and investigate whether the ball will clear the fence. Set window as shown . Now graph.

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    • Chapter 1: Limits and Their Properties

      Students make extensive use of the TI-84 calculator. Each student has his or her own calculator. 4. Students use their calculators to: ... • Concavity and its relationship to the first and second derivatives • Second Derivative Test ... Additional Topics: Plane Curves, Parametric Equations, and Polar Curves (these topics are taught using ...

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    • [DOC File]Linesville High School - Perry-Lecompton USD 343

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      Parametric Equations . b) Chain Rule in Parametric Form. Related Rates. Project assigned . Coffee pot problem – verbal presentation, written conclusions. The Second Derivative, Second Derivative Test. Concavity . Points of inflection. Justification of points of inflection. Relationship between , from tables and graphs. Mean Value Theorem

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    • [DOC File]AP Calculus AB

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      Concavity and the Second Derivative Test. Relating the graphs of . Limits at Infinity. Tangent line to a curve and linear approximations. A summary of Curve Sketching. Optimization Problems. Application problems including position, velocity, acceleration, and rectilinear motion. Parametric Equations. F, F’ Matching Activity . F, F’, F ...

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    • [DOCX File]matermiddlehigh.enschool.org

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      Aug 07, 2013 · AP Calculus BC is organized as a full-year course that includes all topics taught in Calculus AB (AP Calculus BC is an extension of the previous Calculus AB course) plus supplementary topics such as Parametric, Polar, and Vector Functions, Equations Involving Derivatives, several Integration Techniques like Integration by Parts, Simple Partial ...

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