Estimate the slope of the tangent line
Activity overview:
Students should see that the slope of the secant line approaches the slope of the tangent line as point Q approaches point P. Part 2 – Finding average rate of change Students are asked to determine the value of the average rate of change of . f1 (x) on the interval [1, 1.1] two different ways.
[DOC File]1
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Then estimate its slope. c. Estimate the instantaneous rate of change of f with respect to x at x = -2. d. Estimate the average rate of change of f(x) on the interval [-2, 1]. e. Find the equation of the line tangent to f(x) at x = -2. f. Find the equation of the line normal to f(x) at x = -2. (This is the line perpendicular to the tangent line ...
[DOC File]Introduction to Tangent Lines using TI-Nspire CAS
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Next calculate the slope of the tangent line you drew in step 3. Choose the menu icon, select 7:Measurement→3:Slope. Move the cursor to the tangent line until “line” appears and hit enter twice. The number should darken. Hit the esc key. (You can move this number to an empty area of the graph by following the directions at the end of step 2.)
[DOC File]Derivatives - UH
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BUT, at x = 1, the slope of the tangent line is (12/4 = (3. The graph point is (1, (4). And the equation of the tangent line is. y + 4 = (3(x (1). Popper 10, Question 4 Summarizing: The derivative is a calculated quantity that tells you the slope of the tangent line to any point on the graph.
[DOC File]Chapter 3
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B. Write an equation of the tangent line to the graph of f(x) at and . C. Write an equation of the normal to the graph of f(x) at and . D. Find the points on the graph of f where the slope of the tangent line is parallel to . 2. Graph from . The graph of shown here is made of line segments joined end to end. Graph the function’s derivative. 3.
[DOC File]For #1-2, find the derivative of the function
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For what value of x is the slope of the line tangent to the curve at equal to 1? (a) 1.099 (b) 0.086 (c) 0 (d) -0.086 (e) -1.099 6) The tangent line to the curve at the point (2, 8) has an x-intercept at
[DOC File]MAT 271 - Arizona State University
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Jul 13, 2008 · Equation of the tangent line . through the point having slope m is . The slope of a tangent line, which passes through and is . The middle point of a line segment joining the points and is . Examples. Find the equation of a line through (1, 2) and (5, 7). Solution: , the equation of the line is or . Estimate the slope of the tangent line to at
[DOC File]Match the slope fields with their differential equations
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(a) On the axes provided, sketch a slope field for the given differential equation. (b) Let f be the function that satisfies the given differential equation. Write an equation for the . tangent line to the curve through the point (1, 1). Then use your tangent line. equation to estimate the value of
[DOC File]Introduction to Tangent Lines using TI-nspire CAS
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An extrema can occur when the slope of the tangent line equals zero. Determine if the extrema is a maximum or minimum. Show all work and explain your answer. The derivative (slope of the tangent line = 0 at x = -1). The slope is negative, consequently the curve is decreasing at The slope is positive, consequently the curve is increasing at
[DOC File]Equations and Graphs
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Estimate the slope of the tangent line at . Where is marginal cost positive? Find the area under the curve of from x = 1 to x = 3. Use a rectangle method that uses the minimum value of the function within sub-intervals. Produce the approximation for each case of the subinterval cases.
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