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Mathematics 11 Online
OpenStudy (anonymous):

show that the inflection points for y=sinx/x lie on the curve y^2(x^4 +4)=4

OpenStudy (solomonzelman):

set f''(x) =0, and find the infection point, whn you plug the x-solutions into the f(x). by f(x) i am referring to y=sinx/x. then check if these points are on the other function, y^2(x^4+4)=4.

OpenStudy (solomonzelman):

I mean the x-solutions that result from f''(x)=0. call them a and b, you would have points, (a,f(a)) and (b,f(b)).

OpenStudy (solomonzelman):

the just plug in these (a,f(a)) and (b,f(b)) into y^2(x^4+4)=4..

OpenStudy (anonymous):

so the second derivative would be [(2-x^2)sin(x) - 2xcos(x)]/x^3 right?

OpenStudy (solomonzelman):

just over x, not over x^3, I think.

OpenStudy (solomonzelman):

I got to go, sorry.

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