Fiesta 7: Implicit Differentiation (www.ilearnmath.net) Fall 2009
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AP Calculus | Fiesta 7|Shubleka | Implicit Differentation
Name_____________ Show all your work for full credit. Use the space provided below. Graphing calculators are not permissible. 1. Show that the sum of the x − and y − intercepts of any tangent line to the curve x + y = c is equal to c . 2. Find equations of both tangent lines to the ellipse x 2 + 4 y 2 = 36 that pass through the point (12, 3). 3. Find 4.
dy dx
if
tan
( )= x+ y. x y
Find all points on the curve line is -1.
x 2 y 2 + xy = 2 where
the slope of the tangent
Name_____________ Show all your work for full credit. Use the space provided below. Graphing calculators are not permissible. 1. Show that the sum of the x − and y − intercepts of any tangent line to the curve x + y = c is equal to c . 2. Find equations of both tangent lines to the ellipse x 2 + 4 y 2 = 36 that pass through the point (12, 3). 3. Find 4.
dy dx
if
tan
( )= x+ y. x y
Find all points on the curve line is -1.
x 2 y 2 + xy = 2 where
the slope of the tangent
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