022 Sample Final A, Problem 8 - Revision history

MathAdmin at 01:09, 7 June 2015

2015-06-07T01:09:51Z

2015-06-05T13:44:40Z

@@ Line 22: / Line 22: @@
 |<br>
 ::<math>\begin{array}{rcl}
-\frac{\partial f}{\partial l}(k,l) & = & {\displaystyle 200k^{0.6}\left(0.4l^{\,0.4-1}\right)}\\
+\displaystyle{\frac{\partial f}{\partial l}}(k,l) & = & {\displaystyle 200k^{0.6}\left(0.4l^{\,0.4-1}\right)}\\
   \\
 & = & 200k^{0.6}\left(\frac{2}{5}l^{-0.6}\right)\\
@@ Line 38: / Line 38: @@
 |<br>
 ::<math>\begin{array}{rcl}
-\frac{\partial f}{\partial k}(k,l) & = & {\displaystyle 200\left(0.6k^{0.6-1}\right)l^{0.4}}\\
+\displaystyle{\frac{\partial f}{\partial k}}(k,l) & = & {\displaystyle 200\left(0.6k^{0.6-1}\right)l^{0.4}}\\
 \\
   & = & 200\left(\frac{3}{5}k^{-0.4}\right) l^{\,0.4}\\

@@ Line 18: / Line 18: @@
 !Marginal productivity of labor: &nbsp;
 |-
-|we take the partial derivative with respect to <math>l</math>:
+|We take the partial derivative with respect to <math style="vertical-align: 0px">l</math>:
 |-
+|<br>
 ::<math>\begin{array}{rcl}
 \frac{\partial f}{\partial l}(k,l) & = & {\displaystyle 200k^{0.6}\left(0.4l^{\,0.4-1}\right)}\\
@@ Line 28: / Line 28: @@
 & = & {\displaystyle \frac{80k^{0.6}}{l^{\,0.6}}.}
 \end{array}</math>
 |}
@@ Line 33: / Line 34: @@
 !Marginal productivity of capital: &nbsp; &nbsp;
 |-
-|Now, we take the partial derivative with respect to <math>k</math>:
+|Now, we take the partial derivative with respect to <math style="vertical-align: 0px">k</math>:
 |-
+|<br>
 ::<math>\begin{array}{rcl}
 \frac{\partial f}{\partial k}(k,l) & = & {\displaystyle 200\left(0.6k^{0.6-1}\right)l^{0.4}}\\
@@ Line 43: / Line 44: @@
   & = & {\displaystyle \frac{120l^{\,0.4}}{k^{0.4}}.}
 \end{array}</math>
 |}
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"