Difference between revisions of "009A Sample Final 2, Problem 3"

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<span class="exam">Compute &nbsp; <math>\frac{dy}{dx}.</math>
 
<span class="exam">Compute &nbsp; <math>\frac{dy}{dx}.</math>
  
<span class="exam">(a) <math style="vertical-align: -14px">y=\bigg(\frac{x^2+3}{x^2-1}\bigg)^3</math>
+
<span class="exam">(a) &nbsp;<math style="vertical-align: -15px">y=\bigg(\frac{x^2+3}{x^2-1}\bigg)^3</math>
  
<span class="exam">(b) <math style="vertical-align: -3px">y=x\cos(\sqrt{x+1})</math>
+
<span class="exam">(b) &nbsp;<math style="vertical-align: -4px">y=x\cos(\sqrt{x+1})</math>
  
<span class="exam">(c) <math>y=\sin^{-1} x</math>
+
<span class="exam">(c) &nbsp;<math style="vertical-align: -5px">y=\sin^{-1} x</math>
  
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 
{| class="mw-collapsible mw-collapsed" style = "text-align:left;"

Revision as of 13:45, 6 March 2017

Compute   Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\frac {dy}{dx}}.}

(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 y=\bigg(\frac{x^2+3}{x^2-1}\bigg)^3}

(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 y=x\cos(\sqrt{x+1})}

(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 y=\sin^{-1} x}

Foundations:  


Solution:

(a)

Step 1:  
Step 2:  

(b)

Step 1:  
Step 2:  

(c)

Step 1:  
Step 2:  


Final Answer:  
(a)
(b)
(c)

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