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[DOC File]Section 1
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Write an equation for each vertical tangent to the graph. Find in terms of . (1980 AB6, BC4) Let be the continuous function that satisfies the equation and whose graph contains the points (2,1) and (-2,-2). Let be the line tangent to the graph of at . Find an expression for . Write an equation for line .
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[DOC File]Handout Example Section 3 - Radford University
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a. let y = f(x) be the particular solution to the given differential equation for 1 < x < 5 such that the line . y = -2 is tangent to the graph of f. Find the x-coordinate of the point of tangency, and determine whether f has a local maximum, local minimum, or neither at this point. Justify your answer. b.
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[DOC File]New Chapter 3
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Finding equation of tangents. The slope of the tangent line is found by calculating the derivative of the function at the point of intersection. The equation is then found by plugging that slope, along with the original point, into: Ex: Find an equation for the tangent line to the curve at the indicated point:;
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[DOC File]Tangent Lines and Rates of Change
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You have been finding the derivative of a variety of functions using Calculus rules such as the power rule, product and quotient rules, and the chain rule. You have also found the slope of a tangent line at a point and used it to write the equation of the tangent line.
tangent line at a point

[DOC File]Unit 2 Worksheet 3
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of the tangent line at x = a: Step 3. Use the . point-slope. formulato find the equation of the tangent line: (Example 5.2 . Find the equation of the line tangent to the graph of at x = 1. Sketch the graph of f(x) and the tangent line on the same axes. (Solutions . When x = 1, we can get the y coordinate by finding …
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[DOC File]Topic 7: Calculus
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Here is a graph of the function y = f(x) = x3 –3x2 + 2x + 1 and its tangent line at the point (2,1). The equation of the tangent line is y = 2x – 3. Here is the same function and tangent line in the range of –1.9 < x < 2.1. Note how close they are.
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[DOC File]Introduction to Tangent Lines using TI-nspire CAS
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Graph the equation y = x3 + 2x2 - 3x – 4 on the window [-10, 10] by [-10, -10]. Draw a point on the curve, draw a tangent line through that point, and find the equation of the tangent line, using the TI-Nspire. To draw a point on the curve and draw a tangent through that point, refer to Activity 1.
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[DOC File]Calculus 1 Lecture Notes, Section 3.1
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To find the equation of the tangent line, we need its slope and a point on the line. The point is given so we first must find the tangent line slope. Recall that the slope of the tangent line is found by finding the derivative , which in this example we must find by implicit differentiation.
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[DOC File]Introduction to Tangent Lines using TI-Nspire CAS
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Wkst – Tangent Line Slope – Limit Definition (A) Date Use the limit definition to find the equation for the slope of any tangent line, the slope of the tangent line at the given value, and the equation of the tangent line at the given value of x. 1. mtan = m = point = equation = 2. mtan = m = point = equation …
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Equation of the tangent line using implicit differentiation — Krista …
Find the slope of the tangent line to the curve passing through point . Solution: Since , using the slope of the tangent equation, we get . Thus the slope of the tangent line is . Using the point-slope formula above, or . Next we are interested in finding a formula for the slope of the tangent line …
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Finding equation of a tangent line