anonymous
  • anonymous
What is the derivative of g(x) = 1/ sqrt (x) using limit?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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bahrom7893
  • bahrom7893
(1/(sqrt(x+h)))-(1/sqrt(x)))/h
bahrom7893
  • bahrom7893
h->0
bahrom7893
  • bahrom7893
|dw:1328833506404:dw|

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bahrom7893
  • bahrom7893
|dw:1328833576708:dw|
bahrom7893
  • bahrom7893
|dw:1328833639546:dw|
bahrom7893
  • bahrom7893
|dw:1328833700228:dw|
bahrom7893
  • bahrom7893
|dw:1328833740275:dw|
bahrom7893
  • bahrom7893
all right that's it.
anonymous
  • anonymous
h is not negative?? (sqrt x) - (sqrt (x+h)) is there no brackets around them?
bahrom7893
  • bahrom7893
h is not negative where?
anonymous
  • anonymous
x - x + h < is h not -ve here?
bahrom7893
  • bahrom7893
no it's under square root, so the signs of h are preserved
anonymous
  • anonymous
and can u explain how you you multiply sqrt (x(x+h) and sqrt x + sqrt (x+h) together..?? how u get sqrt x + sqrt (x+h) from that.. thanks so much
bahrom7893
  • bahrom7893
it's the form a^2-b^2, where a=sqrt(x), b=sqrt(x+h)
bahrom7893
  • bahrom7893
so we basically had a-b, so i multiplied both sides by a+b, to get it into form a^2-b^2
bahrom7893
  • bahrom7893
to get rid of the sqrt
anonymous
  • anonymous
ohh ok ok i get it thank you u square both sides right?
bahrom7893
  • bahrom7893
well yea technically, but squaring won't work so I multiplied by a+b
anonymous
  • anonymous
oh ok thanks!!

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