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[DOC File]Intro – average speed is the average rate of change of ...
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a. Algebraically compute the secant slope or for the parabola with equation f(x) = 9-x2. The value of the secant slope when h goes to zero, if it exists, is the slope of the tangent line to a function f (or the derivative of f) b. Evaluate your algebraic formula for the slope of the tangent line at the table values:
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[DOC File]Section 1
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If Q has coordinates (c, d) then the slope of the secant line is ∆y / ∆x = (d - b) / (c - a). A . tangent line. to the graph of a function touches the graph at a given point. When we are given discrete data and asked to find the equation of a tangent line, we must use the secant line as an estimator.
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[DOCX File]AP Calculus I - FCPS
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The Derivative and the Tangent Line Problem. Essentially, the problem of finding the tangent line at a point P boils down to the problem of finding the . slope. of the tangent line at point P. You can approximate this slope using the . secant line (not the trig): Slope of the Secant line…
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[DOC File]1 - Arizona State University
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Solution: Slope = Make the graph yourself. b) The points and lie on the curve. Find the slope of the secant line PQ correct to two decimal places. Draw the graph of the function along with P and Q on the graph and the secant line. [10 points] Solution: Slope = Make the graph yourself. a) Use a table of values to guess the value of .
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[DOC File]Tangent Lines and Rates of Change
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The slope of the tangent line at x1. The slope of the secant line between points x0 and x1. Make a sketch of and show the secant and tangent lines at their respective points. Repeat problem #1 for and the values x0 = 2 and x1 = 3. Find the slope of the graph at a general point x. What is the slope of the tangent line at x0 = 6? Suppose that .
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[DOC File]Unit - Ministry of Education
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The slope of the secant line is equivalent to the average rate of change. Cannot be determined over intervals for functions that have non-continuous intervals such as cusps and vertical asymptotes. The sign of the slope indicates whether a function is increasing or decreasing Examples.
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[DOC File]Tangent Lines and Rates of Change
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Slope of the Secant Line (Passed out in class) 3, 4 Slope of a Function around a Point LAB 3: Zooming In (Passed out in class) 5 Limit Definition of the Derivative Pg. 15 6 Slope at Point of Tangency Pg. 16 7 Equations of Tangent Lines Pg. 17 8, 9 Derivation of the Slope Function LAB (due on test day) ...
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Activity overview: - Texas Instruments
The slope of the secant line is the average rate of change. Then, students are to move to page 1.6 and need to use the table of values of . f1 (x) and the Calculator application. They should see that they get the same answer. Part 3 – Finding instantaneous rate of change.
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Slope of a secant line