Standard
Assessed
C
3.1MM
State whether a given point on a graph is a “global\/local maximum\/minimum”.
Question
For the function graphed below, determine whether the function has the extremum indicated at each
x-value in the table. <\/p>\n
x Local minimum
Local maximum
Global minimum
Global maximum <\/p>\n
\u22125 Yes
No
Yes
No
Yes
No
Yes
No <\/p>\n
\u22122 Yes
No
Yes
No
Yes
No
Yes
No <\/p>\n
1 Yes
No
Yes
No
Yes
No
Yes
No <\/p>\n
5 Yes
No
Yes
No
Yes
No
Yes
No
Standard
Assessed
C
3.1CE
Find critical points and extreme values (max\/min) of functions by using derivatives.
Question
Find all critical points and local maximums and minimums of the function. Show your work. <\/p>\n
f(x)=x3 5×2\u22129x\u221245 [Solution here]
Standard
Assessed
E
3.2RM
Graphically and using derivatives, find the values guaranteed to exist by Rolle’s Theorem and by the Mean Value Theorem.
Question
Consider the function
f(x)=x3 5×2\u22129x\u221245 on the interval [\u22125,3]
. Verify that the hypotheses of the Mean Value Theorem are satisfied for this function on the given interval.
Find the value of a number “c” which the Mean Value Theorem guarantees.
[Solution here] <\/p>\n","protected":false},"excerpt":{"rendered":"
Standard Assessed C 3.1MM State whether a given point on a graph is a “global\/local maximum\/minimum”. Question For the function graphed below, determine whether the function has the extremum indicated at each x-value in the table. x Local minimum Local maximum Global minimum Global maximum \u22125 Yes No Yes No Yes No Yes No \u22122 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[10],"class_list":["post-68833","post","type-post","status-publish","format-standard","hentry","category-research-paper-writing","tag-writing"],"_links":{"self":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/68833","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/comments?post=68833"}],"version-history":[{"count":0,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/68833\/revisions"}],"wp:attachment":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/media?parent=68833"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/categories?post=68833"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/tags?post=68833"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}