calyne
If f(x) + x^2 * f(x) = 10 and f(1)=2, find f'(1).
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yash007
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check ur ques. again
its wrong
it does not satisfy for f(1)=2 in the main equation
calyne
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well that's the friggen problem verbatim from the textbook
calyne
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OH pellet
calyne
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it's not sorry geez sorry it's f(x) + x^2 * f(x)^3 = 10 the second f(x) term is cubed
AnimalAin
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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.
yash007
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is ur anwer 2/5??
calyne
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it's -16/13 that's the answer in the book
calyne
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animalain - it's y + (x^2)(y^3) = 10
AnimalAin
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Yeah, I got that. Trying to figure out my strategy....
yash007
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yeah its done
calyne
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...
AnimalAin
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How did you do it?
yash007
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differentiate it n then put x=1 in equation
u'll get the result
yash007
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is that done??
AnimalAin
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\[y + (x^2)(y^3) = 10\implies y'+2xy^3+3x^2y^2y'=0\]\[\implies y'(1+3x^2y^2)=-2xy^3\implies y'=\frac{-2xy^3}{1+3x^2y^2}\]\[\implies y'(1)=\frac{-16}{13}\]Got it. Need to practice my calculus a little more....LOL
yash007
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all the best..:)