Difference between revisions of "009A Sample Midterm 1, Problem 4"

Revision as of 09:58, 5 February 2017

Find the derivatives of the following functions. Do not simplify.

a)

f(x)={\sqrt {x}}(x^{2}+2)

b)

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

where

x>0

c)

h(x)={\frac {e^{-5x^{3}}}{\sqrt {x^{2}+1}}}

Solution:

(a)

Step 1:

Step 2:

(b)

(c)

@@ Line 1: / Line 1: @@
-<span class="exam">
+<span class="exam">Find the derivatives of the following functions. Do not simplify.
-::<span class="exam">a)
+::<span class="exam">a) <math>f(x)=\sqrt{x}(x^2+2)</math>
-::<span class="exam">b)
+::<span class="exam">b) <math>g(x)=\frac{x+3}{x^{\frac{3}{2}}+2}</math> where <math>x>0</math>
+::<span class="exam">c) <math>h(x)=\frac{e^{-5x^3}}{\sqrt{x^2+1}}</math>
@@ Line 37: / Line 38: @@
 '''(b)'''
+{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+!Step 1: &nbsp;
+|-
+|
+|-
+|
+|-
+|
+|-
+|
+|}
+{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+!Step 2: &nbsp;
+|-
+|
+|-
+|
+|-
+|
+|-
+|
+|}
+'''(c)'''
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 !Step 1: &nbsp;
@@ Line 67: / Line 93: @@
 |-
 |'''(b)'''
+|-
+|'''(c)'''
 |}
 [[009A_Sample_Midterm_1|'''<u>Return to Sample Exam</u>''']]