This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: c,f ( c )) is neither a relative maximum nor a relative minimum. Second Derivative Test : Let ( c,f ( c )) be a critical point. (a) If f 00 ( c ) &lt; 0, then the point ( c,f ( c )) is a relative maximum. (b) If f 00 ( c ) &gt; 0, then the point ( c,f ( c )) is a relative minimum. Note that if f 00 ( c ) = 0 or if f 00 ( c ) is undened, then the test fails and the rst derivative test should be used instead. 1 2 5. Find the points of inection that are all values of x where f 00 ( x ) = 0 and f 00 changes the sign at those points. 6. Knowing the points of inection, determine where the function f ( x ) is concave up or concave down. (a) f ( x ) is concave up where f 00 ( x ) &gt; 0. (b) f ( x ) is concave down where f 00 ( x ) &lt; 0. 7. Sketch the curve using all information....
View
Full
Document
This note was uploaded on 03/17/2011 for the course PHYSICS 2001 taught by Professor Young during the Spring '08 term at LSU.
 Spring '08
 YOUNG

Click to edit the document details