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Tangents

Tangents. The slope of the secant line is given by The tangent line’s slope at point a is given by. a. x. Example. Find the equation for the line tangent to the parabola y = x 2 at the point (1, 1). Another Form. Example.

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Tangents

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  1. Tangents

  2. The slope of the secant line is given by The tangent line’s slope at point a is given by a x

  3. Example • Find the equation for the line tangent to the parabola y = x2 at the point (1, 1)

  4. Another Form

  5. Example Find the equation for the tangent to the hyperbola y = 3/x at the point (3, 1)

  6. Example Find the slope of the tangent line to the function at a point a What is the value of this slope at the following points (1,1) , (4, 2) , (9, 3)

  7. Example Find the slope of the tangent line to the function f(x)= x2 + 3x at the point (1, 4) using each definition

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