anonymous
  • anonymous
If f(x) + x^2 * f(x) = 10 and f(1)=2, find f'(1).
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
check ur ques. again its wrong it does not satisfy for f(1)=2 in the main equation
anonymous
  • anonymous
well that's the friggen problem verbatim from the textbook
anonymous
  • anonymous
OH pellet

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anonymous
  • anonymous
it's not sorry geez sorry it's f(x) + x^2 * f(x)^3 = 10 the second f(x) term is cubed
anonymous
  • anonymous
Maybe rearrange the problem a bit....\[y+x^2y=10\implies y=\frac{10}{1+x^2}\]I don't think your problem meets the specified conditions.
anonymous
  • anonymous
is ur anwer 2/5??
anonymous
  • anonymous
it's -16/13 that's the answer in the book
anonymous
  • anonymous
animalain - it's y + (x^2)(y^3) = 10
anonymous
  • anonymous
Yeah, I got that. Trying to figure out my strategy....
anonymous
  • anonymous
yeah its done
anonymous
  • anonymous
...
anonymous
  • anonymous
How did you do it?
anonymous
  • anonymous
differentiate it n then put x=1 in equation u'll get the result
anonymous
  • anonymous
is that done??
anonymous
  • anonymous
\[y + (x^2)(y^3) = 10\implies y'+2xy^3+3x^2y^2y'=0\]\[\implies y'(1+3x^2y^2)=-2xy^3\implies y'=\frac{-2xy^3}{1+3x^2y^2}\]\[\implies y'(1)=\frac{-16}{13}\]Got it. Need to practice my calculus a little more....LOL
anonymous
  • anonymous
all the best..:)

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