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posted by  52010 on 11/4/2009 2:39:07 PM  |  status: Closed  |  Earned Karma: 25

find the derivative

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N/A N/A N/A N/A 11/6/2009 at 10:00:00 AM
Question Details:
h(x)= 5√x3 + 24√x3
I'm not sure how to solve this with the square roots.
Tags: Calculus
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Oracle
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posted by hado on 11/4/2009 2:50:21 PM  |  status: Live
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Response Details:
Using product rule 
  (answer)

 
Alnd if you meant
Then
Mentor
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posted by St. John on 11/4/2009 2:55:10 PM  |  status: Live
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Oracle
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posted by anonymousxyz on 11/4/2009 2:55:21 PM  |  status: Live
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Response Details:


h( x ) \;\;=\;\; 5\sqrt{x^3} \;+\; 2\sqrt[4]{x^3}\;\;=\;\;5x^{3/2} \;+\; 2x^{3/4}


h'( x ) \;\;=\;\; \frac{15}{2}x^{1/2} \;+\; \frac{3}{2}x^{-1/4} \;\;=\;\; \frac{15\sqrt{x}}{2} \;+\; \frac{3}{2\sqrt[4]{x}}
Oracle
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(Central Florida)
posted by Sonny's on 11/4/2009 2:55:24 PM  |  status: Live
Asker's Rating: Helpful   
Response Details:
Given the function:

 
Differentiate both sides of the function with respect to x using the power rule of differentiation:

 
Simplify here.
 

 
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