anonymous
  • anonymous
Find the derivative of f(x) = 6 divided by x at x = -2.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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butterflydreamer
  • butterflydreamer
any idea on how to differentiate 6/x ?
anonymous
  • anonymous
no
butterflydreamer
  • butterflydreamer
|dw:1436537631593:dw|

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anonymous
  • anonymous
ok
butterflydreamer
  • butterflydreamer
so now, what we're basically trying to differentiate is : |dw:1436537787461:dw| So in your question, can you tell me what "k" and "n" will be?
butterflydreamer
  • butterflydreamer
|dw:1436537961857:dw| can you see that "k" would be 6 and "n" would be -1 ? :)
anonymous
  • anonymous
Yes. Thanks.
butterflydreamer
  • butterflydreamer
sooo do you know where to go from here? :)
anonymous
  • anonymous
No idea. I haven't done this stuff in forever
butterflydreamer
  • butterflydreamer
oh well k = 6, n = -1 so plug it into the formula in the red box
anonymous
  • anonymous
[6x^-1] = 6x (-1)x^-1-1
anonymous
  • anonymous
6 times (-1)
butterflydreamer
  • butterflydreamer
correct :) so now just simplify the exponent part "-1-1"
anonymous
  • anonymous
so ^-2
butterflydreamer
  • butterflydreamer
yeppp, so basically: |dw:1436538315144:dw|
anonymous
  • anonymous
Ok.
butterflydreamer
  • butterflydreamer
now you sub in x = 2 into the above and you'll have your answer :)
anonymous
  • anonymous
so 6/4 or 3/2
butterflydreamer
  • butterflydreamer
you're forgetting your negative sign
anonymous
  • anonymous
yeah
anonymous
  • anonymous
thanks
butterflydreamer
  • butterflydreamer
You're welcome :)!

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