## calyne 3 years ago If f(x) + x^2 * f(x) = 10 and f(1)=2, find f'(1).

1. yash007

check ur ques. again its wrong it does not satisfy for f(1)=2 in the main equation

2. calyne

well that's the friggen problem verbatim from the textbook

3. calyne

OH pellet

4. calyne

it's not sorry geez sorry it's f(x) + x^2 * f(x)^3 = 10 the second f(x) term is cubed

5. AnimalAin

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.

6. yash007

is ur anwer 2/5??

7. calyne

it's -16/13 that's the answer in the book

8. calyne

animalain - it's y + (x^2)(y^3) = 10

9. AnimalAin

Yeah, I got that. Trying to figure out my strategy....

10. yash007

yeah its done

11. calyne

...

12. AnimalAin

How did you do it?

13. yash007

differentiate it n then put x=1 in equation u'll get the result

14. yash007

is that done??

15. AnimalAin

$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

16. yash007

all the best..:)