This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 1 2. Deﬁne f ( x ) = x1 x + 2 . (a) Determine the domain of f , the derivative of f , and the critical points of f . Determine any points of local maximum and minimum, the intervals where f is increasing, and the intervals where f is decreasing. Find any horizontal or vertical asymtptotes of f . [2 marks] (b) Find the second derivative of f , the intervals where f is concave up, the intervals where f is concave down, and any points of inﬂection. [1 mark ] (c) Use this information to sketch the graph of f . [1 mark ] 2...
View
Full Document
 Spring '11
 ooo
 Calculus, Derivative, Mathematical analysis, Convex function

Click to edit the document details