Difference between revisions of "009A Sample Final 3, Problem 9"

Revision as of 19:03, 18 February 2017

Let

g(x)=(2x^{2}-8x)^{\frac {2}{3}}

(a) Find all critical points of $g$ over the $x$ -interval $[0,8].$

(b) Find absolute maximum and absolute minimum of $g$ over $[0,8].$

Solution:

(a)

Step 2:

(b)

Step 1:

Step 2:

(c)

@@ Line 1: / Line 1: @@
 <span class="exam">Let
-::::<math>g(x)=(2x^2-8x)^{\frac{2}{3}}</math>
+::<math>g(x)=(2x^2-8x)^{\frac{2}{3}}</math>
-::<span class="exam">a) Find all critical points of <math>g</math> over the <math>x</math>-interval <math>[0,8].</math>
+<span class="exam">(a) Find all critical points of <math>g</math> over the <math>x</math>-interval <math>[0,8].</math>
-::<span class="exam">b) Find absolute maximum and absolute minimum of <math>g</math> over <math>[0,8].</math>
+<span class="exam">(b) Find absolute maximum and absolute minimum of <math>g</math> over <math>[0,8].</math>
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 |}
 '''Solution:'''
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 |}
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"