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ammu123

  • 3 years ago

Find the derivative of y with respect to x, t or theta as appropriate (b) y= ln((1-x)/(x+5)^3)

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  1. abb0t
    • 3 years ago
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    use quotient rule.

  2. ammu123
    • 3 years ago
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    the answer is 2x-8 / (x+5)(1-x) i tried the quotient rule but couldnt get the answer can u show how to do it? thanks

  3. Hoa
    • 3 years ago
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    you break the ln into 2 parts. because it is a quotient. so the right side = ln ((1-x) - ln (x+5)^3 . and then take derivative as usual, part to part. try that way.

  4. Hoa
    • 3 years ago
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    don't forget ln(x+5)^3 = 3ln(x+5). I checked and it works.

  5. campbell_st
    • 3 years ago
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    use some log laws to simplify the question \[\ln(\frac{1-x}{(x + 5)^3}) = \ln(1 - x) - 3\ln(x + 5)\] once you get the derivatives... to simplify you will need a common denominator of (1 - x)(x + 5) cross multiply for the numerators.

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