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

Revision as of 14:38, 6 March 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 3: / Line 3: @@
 ::<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 &nbsp;<math style="vertical-align: -4px">g</math>&nbsp; over the &nbsp;<math style="vertical-align: 0px">x</math>-interval &nbsp;<math style="vertical-align: -5px">[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 &nbsp;<math style="vertical-align: -4px">g</math>&nbsp; over &nbsp;<math style="vertical-align: -5px">[0,8].</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"