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Check my first derivative

  1. Dec 4, 2012 #1
    1. The problem statement, all variables and given/known data
    Find the first derivative of (5/x)+(5/SQRT(x))


    2. Relevant equations

    Derivative ruls

    3. The attempt at a solution
    attachment.php?attachmentid=53629&stc=1&d=1354648651.jpg

    Is this correct? Thank you
     

    Attached Files:

  2. jcsd
  3. Dec 4, 2012 #2

    arildno

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    Yes.
     
  4. Dec 4, 2012 #3
    Thank you
     
  5. Dec 4, 2012 #4

    Mark44

    Staff: Mentor

    Unless this problem requires the use of the quotient rule, it can be done much more simply using the power rule.

    $$\frac{d}{dx}\left(\frac{5}{x} + \frac{5}{\sqrt{x}} \right)$$
    = d/dx(5x-1 + 5x-1/2)
    = -5x-2 - (1/2)x-3/2
     
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