Given that

$$

siny+cosy = x

$$

find the first $\frac{dy}{dx}$ and the second derivative $\frac{d^{2}y}{dx^{2}}$ as functions of x.

$$

siny+cosy = x

$$

find the first $\frac{dy}{dx}$ and the second derivative $\frac{d^{2}y}{dx^{2}}$ as functions of x.

__Hint:__It deserves to be persistent (and to use some trigonometric identities as well) to get rid of the $y$ !
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