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mathcalculus

locate the critical points: g(x)= (1*x+1)/1-7x

  • one year ago
  • one year ago

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  1. mathcalculus
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    so far im left with : 7x^2-7x-6

    • one year ago
  2. mathcalculus
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    i know that i have to = to zero

    • one year ago
  3. mathcalculus
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    then I'm stuck.

    • one year ago
  4. mathcalculus
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    factor?

    • one year ago
  5. Peter14
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    could you write out the equation more clearly?

    • one year ago
  6. mathcalculus
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    g(x) \[\frac{ 1*x+1 }{1-7x}\]

    • one year ago
  7. Peter14
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    then you use quotient rule?

    • one year ago
  8. mathcalculus
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    yes

    • one year ago
  9. mathcalculus
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    i have 7x^2-7x-6

    • one year ago
  10. mattt9
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    |dw:1363323083958:dw|

    • one year ago
  11. mathcalculus
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    i found the derivative..

    • one year ago
  12. mattt9
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    |dw:1363323153025:dw|

    • one year ago
  13. mathcalculus
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    @mattt9 the derivative that i got is this: \[\frac{ 1*(1-7x)-7(x+1) }{ (1-7x)^{2} }\]

    • one year ago
  14. mattt9
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    |dw:1363323222354:dw|

    • one year ago
  15. mathcalculus
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    how did i get the derivative wrong?

    • one year ago
  16. mattt9
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    you missed a negative

    • one year ago
  17. Peter14
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    matt, I don't think you can take away the ^-2 like that...

    • one year ago
  18. mattt9
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    hmm i think you're right actually.

    • one year ago
  19. mathcalculus
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    the answer is none

    • one year ago
  20. mattt9
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    okay that's what i thought.

    • one year ago
  21. mattt9
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    after peter reclarified that for me

    • one year ago
  22. mathcalculus
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    x cannot be 1/7 because you cancel the -7x+7x and youre left with -6

    • one year ago
  23. Peter14
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    graphing\[y=\frac{ 1 }{ (1-7x)^2 }\] with Desmos I don't see a place where it crosses the X-axis

    • one year ago
  24. mathcalculus
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    when you multiply the denominator to zero= 0

    • one year ago
  25. mathcalculus
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    and -6 does not equal to an x

    • one year ago
  26. Peter14
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    thinking about it: 1/anything cannot equal 0

    • one year ago
  27. Peter14
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    so there are no critical points

    • one year ago
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