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Determine the derivative of the following. Simplify fully.

  1. Jul 15, 2011 #1
    1. The problem statement, all variables and given/known data

    y = (3x+2)(x+5)^4

    2. Relevant equations

    Here, i tried using the chain rule on (x+5)^4 first, and then i tried using the product rule
    for the entire expression with no success. Can someone help me please?



    3. The attempt at a solution

    dy/dx (3x+2)(x+5)^4 + dy/dx(x+5)^4(3x+2)
    = (3)(x+5)^4 + 4(x+5)^3(3x+2)
    =3(x+5)^4 + 4(x+5)^3(3x+2) this is as far as i could go.
     
  2. jcsd
  3. Jul 15, 2011 #2

    SammyS

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    Factor out (x+5)3 and simplify the remaining expression.
     
  4. Jul 15, 2011 #3
    = (x+5)^3(3(x+5) + 4(3x+2))
    = (x+5)^3(3x+15 +12X + 8)
    dy/dx = (x+5)^3(15x+23) final answer thank u for helping!
     
    Last edited: Jul 15, 2011
  5. Jul 15, 2011 #4

    SammyS

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    You're very welcome.

    Sam
     
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