Given that y=1/(2+sin2x) show that d^2y/dx^2=2/y(dy/dx)^2+4y^2sin2x
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First, find $\displaystyle \frac{dy}{dx}$ and $\displaystyle \frac{d^2y}{dx^2}$. Substitute those expressions into the equation you are trying to prove, and see if you get equality.
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