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

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<span class="exam">Find the derivatives of the following functions. Do not simplify.
  
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::<span class="exam">a)<math>f(x)=\sin\bigg(\frac{x^{-3}}{e^{-x}}\bigg)</math>
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::<span class="exam">b)<math>g(x)=\sqrt{\frac{x^2+2}{x^2+4}}</math>
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::<span class="exam">c)<math>h(x)=(x+\cos^2x)^8</math>
  
  
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[[009A_Sample_Midterm_3|'''<u>Return to Sample Exam</u>''']]
 
[[009A_Sample_Midterm_3|'''<u>Return to Sample Exam</u>''']]

Revision as of 08:50, 5 February 2017

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

a)Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle f(x)=\sin {\bigg (}{\frac {x^{-3}}{e^{-x}}}{\bigg )}}
b)Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle g(x)={\sqrt {\frac {x^{2}+2}{x^{2}+4}}}}
c)Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle h(x)=(x+\cos^2x)^8}


Foundations:  

Solution:

(a)

Step 1:  
Step 2:  

(b)

Step 1:  
Step 2:  

(c)

Step 1:  
Step 2:  


Final Answer:  
(a)
(b)
(c)

Return to Sample Exam

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