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anonymous
 5 years ago
can someone help me do this please?
 Using the definition lim h>0 f(x+h)  f(x)/h, to find the derivative at x.
f(x)= 8/(x+9)^2
anonymous
 5 years ago
can someone help me do this please?  Using the definition lim h>0 f(x+h)  f(x)/h, to find the derivative at x. f(x)= 8/(x+9)^2

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0is it \[8\div(\sqrt{x+9})\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no, I dont have that option...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no is that what you are asking

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh, in the denominator, x+9 is squared

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh squared not square root

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well just taking the derivative it should be 16/(x+9)^3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0step 1: lim h> 0 [8/(x+h+9)^2  8/(x+9)^2]/h

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0factor the top, and cancel out all the terms, you should have a factor of "h" in every term in the numberator

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it's tedious.. but i simplify to ...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0when i factor the denominator, i gont get an h in every term

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.08(2xh+18h+h^2)/[h*((x+h+9)^2)(x^2+18x+81)]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0cancel the h, you get 8(2x+18+h)/[((x+h+9)^2)(x^2+18x+81)]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0in the limit as h> , this reduces to 16x/(x+9)^3
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