Difference between revisions of "009A Sample Midterm 2, Problem 4"

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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)=x^3(x^{\frac{4}{3}}-1)</math>
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::<span class="exam">b) <math>g(x)=\frac{x^3+x^{-3}}{1+6x}</math> where <math>x>0</math>
  
::<span class="exam">a)
 
::<span class="exam">b)
 
  
  

Revision as of 08:53, 5 February 2017

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

a) 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 f(x)=x^3(x^{\frac{4}{3}}-1)}
b) 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 g(x)=\frac{x^3+x^{-3}}{1+6x}} where 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 x>0}


Foundations:  

Solution:

(a)

Step 1:  
Step 2:  

(b)

Step 1:  
Step 2:  
Final Answer:  
(a)
(b)

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