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ammu123

  • 3 years ago

Find the derivative of y with respect to x,t or theta as appropriate. (a) y= ln(x)/x^6 (b) y= ln((1-x)/(x+5)^3)

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  1. AravindG
    • 3 years ago
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    (a) use quotient rule

  2. ammu123
    • 3 years ago
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    what do you do after that

  3. AravindG
    • 3 years ago
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    simplify if needed

  4. ammu123
    • 3 years ago
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    thanks

  5. AravindG
    • 3 years ago
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    yw :)

  6. ammu123
    • 3 years ago
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    i got (x^6(ln) - ln(x) (6x^5))/x^12 the answer is 1-6ln(x)/x^7 im stuck with simplifying

  7. mathsmind
    • 3 years ago
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    i would always change those equations into product rule

  8. mathsmind
    • 3 years ago
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    \[y = \ln(x).x^{-6}\]

  9. mathsmind
    • 3 years ago
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    \[=x^{-1}x^{-6}-6x^{-7}\ln(x)\]

  10. mathsmind
    • 3 years ago
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    \[=x^{-7}-6x^{-7}\ln(x)=x^{-7}(1-6\ln(x))\]

  11. mathsmind
    • 3 years ago
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    as for the 2nd problem the answer would be

  12. mathsmind
    • 3 years ago
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    =[-1/(1-x)(x+5)^3] -[3ln(1-x)/(x+5)^4]

  13. ammu123
    • 3 years ago
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    thank you

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