Unformatted text preview: x ), showing any local maxima, local minima, points of inﬂections and asymptotes : ( i ) y = 1 1 + x 2 ( ii ) y = 2 x 3 + 3 x 236 x + 5 ( iii ) y = x x 2 + 1 ( iv ) y = x 1010 x ( v ) y = xln x (for x > 0) ( vi ) y = x 2 + 2 ( x + 2) 2 3. Find a cubic polynomial P ( x ) with the following properties. ( i ) P (0) = 4 ( ii ) P (2) = 0 ( iii ) P has a critical point at x =2 and P (2) = 0. What is the nature of the critical point at x =2?...
View
Full Document
 Spring '10
 Not Sure
 Calculus, Derivative, Mathematical analysis, School of Mathematics, smooth curve

Click to edit the document details