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Math Help - Diffrentiation

  1. #1
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    Diffrentiation

    Differentiate
    (4x-1) * (4x-1)^0.5

    I think im meant to use the product formula? But it doesn't work when i used it =(

    Any help would be appreciated . Ty
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  2. #2
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    Why do you blame the Product Rule?

    (4x-1) * (4x-1)^0.5

    First, the easy way.

    (4x-1) * (4x-1)^(1/2) = (4x-1)^(3/2)

    (d/dx)[(4x-1)^(3/2)] = [(3/2)*(4x-1)^(1/2)]*4 = 6*(4x-1)^(1/2)

    Now the Product Rule

    (d/dx)[(4x-1) * (4x-1)^(1/2)] = (4x-1)*(1/2)*[(4x-1)^(-1/2)]*4 + [(4x-1)^(1/2)]*4

    = 2*(4x-1)^(1/2) + 4*(4x-1)^(1/2) = 6*(4x-1)^(1/2)

    That looks very similar to the other version.
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  3. #3
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    I didnt mean to 'blame the product rule' . I mean it wasnt working when I did it so must be making a mistake . Or wasn;t meant to be doing it in the first place lol.
    Thankyou very much
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  4. #4
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    ...and thank you for your particulary positive attitude.
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