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# Copy_of_3.7_notes - Example 4 Show that the slope dy dx is...

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Calculus Section 3.6 Page41 3.7 Implicit Differentiation Example 1 Find dy dx if y 2 = x using implicit differentiation. What does this mean graphically? Consider the slope of the tangent lines at points (4, 2) and (4, –2), on the curve y 2 = x . Example 2 Find the slope of the circle x 2 + y 2 = 25 at the point (3, –4) Example 3 Find the tangent and normal to the ellipse x 2 - xy + y 2 = 7 at the point (–1, 2)

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Unformatted text preview: Example 4 Show that the slope dy dx is defined at every point on the graph of 2 y = x 2 + sin y Calculus Section 3.6 Page 42 Example 5 Find dy dx if a) x sin y = cos x + y ( ) Calculus Section 3.6 Page43 b) 6 x 2 + 3 xy + x 2 y-6 y = 0 Example 5 Find d 2 y dx 2 if 2 x 3-3 y 2 = 8 Assignment II–7 Page 155 – 156 #1 – 35 odd, 41, 46...
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