help differentiating please!!

mathNewbie

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Feb 10, 2012
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how would i go about differentiating something like (-y sinx)(y2+1)-1/2 with respect to x? Thanks!!
 
how would i go about differentiating something like (-y sinx)(y2+1)-1/2 with respect to x? Thanks!!

d/dx[(-y sinx)(y2+1)-1/2 ] = [-y'*sinx -y*cosx]*(y2+1)-1/2 + (-y sinx)(-1/2)(y2+1)-3/2(2*y*y')

Now simplify and isolate y'
 
d/dx[(-y sinx)(y2+1)-1/2 ] = [-y'*sinx -y*cosx]*(y2+1)-1/2 + (-y sinx)(-1/2)(y2+1)-3/2(2*y*y')

Now simplify and isolate y'

why did you differentiate (-y sinx) to (-ysinx - ycosx)? isnt (-y sinx) differentiated to just (-y cos x)? thanks!
 
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