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Help with Chain Rule Question, Differentiating?

A curve has the equation:

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

(A) Find DY/DX.

The answer is

= (8/(2x-1)^3) -1

My answer is = (8/(2x-1)^3) -2

Can you please show me how you can get the right answer (-1 at the end rather than -2)?

Thanks

1 Answer

Relevance
  • ?
    Lv 5
    9 years ago
    Favorite Answer

    frame the question as

    y = 4- 2 (2x-1)^-3 -x taking the denominator to the numerator by raising the power in negative

    now on differentiating

    dy/dx = 0-2(-3)(2x-1)^-4 (2) -1

    =12(2x-1)^-4-1

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