Ch3-7WS - 2 + (y + 3) 2 = 25 at (1, -7) 7. Find the lines...

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Mrs. Waldron BC Calculus 604 Ch 3.7 Implicit Differentiation WS 1. Find the slope of the circle x 2 + y 2 = 25 at the point (3,-4) 1) Solve for y 2) Implicitly 2. Show that the slope dy/dx is defined at every point on the graph of 2y = x 2 + sin y. 3. Find the tangent and normal to the ellipse x 2 – xy + y 2 = 7 at the point (-1,2).
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5. Find dy/dx a) x 3 + y 3 = 18xy b) 2 x - y x = x + y 6. Find dy/dx and the slope of the curve at the given point. (x + 2)
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Unformatted text preview: 2 + (y + 3) 2 = 25 at (1, -7) 7. Find the lines that are tangent and normal to the curve at (-2,1) y 2 2x 4y 1 = 0 8. Find d 2 y / dx 2 of y 2 + 2y = 2x + 1. 9. Find points on the curve x 2 + xy + y 2 = 7 a) where the tangent is parallel to the x-axis and b) where the tangent is parallel to the y-axis (in this case, dy/dx is not defined, but dx/dy is. What value does dx/dy have at these points?)...
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This note was uploaded on 02/16/2012 for the course CALCULUS 0064 taught by Professor Waldron during the Fall '10 term at Broward College.

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Ch3-7WS - 2 + (y + 3) 2 = 25 at (1, -7) 7. Find the lines...

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