Derivative of piecewise function calculator
[DOC File]mrsbrach.weebly.com
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20. Show that a piecewise function is differentiable. at the point a where the function rule splits First, be sure that the function is continuous at . Take the derivative of each piece and show that . 21. Given (position function), find Find 22. Given , find how far a particle travels on Find 23.
[DOC File]First exam practice sheet
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Draw a graph of that captures all of the above aspects of the function. (You may use a graphing calculator). For the polynomial function . Use a graphing calculator and derivatives to estimate the local extrema . Select a viewing window that shows all turning points. Graph the polynomial in this viewing window. Answers: –0.6
[DOC File]AB CALCULUS
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(12 no calculator / 12 with calculator; 3 pts each = 72 pts) 5 Evaluating limits Continuity of piecewise function. Finding derivatives (all rules, all methods) Slope of a function at a point. 3 Function analysis. Inverse of a function. Local linearization. Average/instantaneous rate of change. Composition of functions. Odd/even functions ...
[DOC File]Advanced Placement Calculus (AB) Rev 4/16/02
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-- Use of the definition to compute the derivative Test 2.5.11 b,c,d. of various functions (Section 3.3) Use of Graphing 2.8.11s,t-- Differentiability of a given function Calculator-- Use of the derivative to find the slope of a tangent line-- Derivatives of sums, differences, products and quotients-- Derivatives of a composite function
[DOC File]AP BC Calculus First Semester Exam Review Guide
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Distinguish the graphs of parent functions without the use of a calculator. (handout) Define an absolute value function as a piecewise function. (pg. 17) Parametric Equations. Be able to graph a curve (be sure to indicate direction on the curve) Be able to write a Cartesian Equation for a curve
[DOC File]AP Calculus Free-Response Questions
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232. Let f be a function that is continuous on the interval [0. 4). The function f is twice differentiable except at x = 2. The function f and its derivative have the properties indicated in the table above, where DNE indicates that the derivatives of f do not exist at x = 2. a. For 0 < x < 4, find all values of x at which f …
[DOC File]AP Calculus AB
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Student Activity 2 - Piecewise Function. Using a CBR and Graphing Calculator, collect data of a ball bouncing. Printout your graph and label all major points of interest. You may want to make several printouts of these points using the graph link program.
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Dec 07, 2014 · Andrew is a physics student testing the rate of change of objects he can throw. Given his calculations, if he throws the baseball from the top of a hill, it follows the equation . x t = - 4.9 t 2 +14.7 t +25 .He wants to know the average rate of change of the ball for each of the following time periods: (Calculator allowed)
[DOC File]ADVANCED PLACEMENT CALCULUS
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3.1 Derivative of a Function. 3.2 Differentiability. Local linearity. Numeric derivatives using the calculator. Differentiability and continuity. 3.3 Rules for Differentiation. 3.4 Velocity and Other Rates of Change. 3.5 Derivatives of Trigonometric Functions. 3.6 Chain Rule. 3.7 Implicit Differentiation. 3.8 Derivatives of Inverse ...
[DOCX File]AP Calculus AB
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Non-Calculator. 17 . Calculator. Limits- 2 Questions. Limits of Piecewise functions at the changing point. Strategies for finding limits: BOBOBOTN EATS DC (rational functions) Try to factor, cancel, and then substitute. Continuity/Differentiability- 5 Questions. Rules for differentiability. Right-hand and Left-hand derivatives (slopes) must be ...
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