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Unformatted text preview: by x + y 3 = y . (a) Find all points on the curve with xcoordinate . (b) Find the slope of the curve at each point in part (a). (c) How many horizontal tangent lines does the curve have? (d) Find the points on the curve where the slope becomes vertical (vertical tangent lines). (e) Try to sketch the curve using the information above. Then justify your answer by considering that the curve would correspond to the inverse function of portions of y = x 3x . 5. Suppose y is implicitly dened as a function of x by 2 x 2y 2 = 1 . Find the derivative and second derivative with respect to x in terms of x,y . 6. Find the derivative of each function below. (a) f ( x ) = arctan( e x ) (b) f ( x ) = arcsin( x ) (c) f ( x ) = arcsin( 1x 2 ) (d) f ( x ) = (1 + x 2 ) p arctan( x ) ...
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This note was uploaded on 05/17/2011 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.
 Spring '08
 ALL
 Calculus, Geometry

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