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Math Help - fifth derivative

  1. #1
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    fifth derivative

    Let .
    Then
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  2. #2
    Member Abu-Khalil's Avatar
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    That's the third derivate.

    f(x)=\frac{1-4x}{1+4x}=\frac{2}{1+4x}-\frac{1+4x}{1+4x}=\frac{2}{1+4x}-1 \Rightarrow f'''(x)=-\frac{2\cdot 4^3 \cdot 2 \cdot 3}{(1+4x)^4}=-\frac{768}{(1+4x)^4} and replace with x=5.
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