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Simplifying a Derivative

  1. Jul 14, 2012 #1
    1. The problem statement, all variables and given/known data
    Find the derivative of:
    y = 10^(1 - x^2)


    2. Relevant equations
    I get:
    y' = (10^(1 - x^2))(ln 10)(-2x)

    doing everything Wolfram does here:
    http://www.wolframalpha.com/input/?i=derivative+10^(1+-+x^2)

    I don't understand why it simplifies to Wolfram's final answer from what I got.


    3. The attempt at a solution
    Everything Wolfram does above.
     
  2. jcsd
  3. Jul 14, 2012 #2

    vela

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    Your answer is fine. Wolfram's answer is weird.
     
  4. Jul 14, 2012 #3
    But it's a great opportunity to use algebra to see if you're correct!

    -22-x251-x2xln10

    -21+1-x251-x2xln10

    -2121-x251-x2xln10

    -2(21-x251-x2)xln10

    -2xln10(101-x2)
     
  5. Jul 14, 2012 #4
    Thank you. BTW I wouldn't multiply the (10^(1 - x^2)) by (-2x) to get something like -20x^(1 - x^2) right? I'd write (-2x)(10^(1 - x^2))(ln 10)?
     
  6. Jul 14, 2012 #5

    vela

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    Right.
     
  7. Jul 14, 2012 #6
    As in the latter?
     
  8. Jul 14, 2012 #7

    vela

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    Yes.
     
  9. Jul 15, 2012 #8
    Alright then. Thanks a bunch : D
     
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