Difference between revisions of "009A Sample Midterm 3, Problem 6"

Revision as of 08:50, 5 February 2017

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

a)

f(x)=\sin {\bigg (}{\frac {x^{-3}}{e^{-x}}}{\bigg )}

b)

g(x)={\sqrt {\frac {x^{2}+2}{x^{2}+4}}}

c)

h(x)=(x+\cos ^{2}x)^{8}

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)=\sin\bigg(\frac{x^{-3}}{e^{-x}}\bigg)</math>
-::<span class="exam">b)
+::<span class="exam">b)<math>g(x)=\sqrt{\frac{x^2+2}{x^2+4}}</math>
+::<span class="exam">c)<math>h(x)=(x+\cos^2x)^8</math>
@@ Line 60: / Line 61: @@
 |
 |}
+'''(c)'''
+{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+!Step 1: &nbsp;
+|-
+|
+|-
+|
+|-
+|
+|-
+|
+|}
+{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+!Step 2: &nbsp;
+|-
+|
+|-
+|
+|-
+|
+|-
+|
+|}
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
@@ Line 66: / Line 93: @@
 |'''(a)'''
 |-
 |'''(b)'''
+|-
+|'''(c)'''
 |}
 [[009A_Sample_Midterm_3|'''<u>Return to Sample Exam</u>''']]