Implicit Differentiation With Trig Functions

Question

If $$\cos(x^2) + 	an^{-1}(y) = 1$$, what is $$\frac{dy}{dx}$$?

Accepted Answer

$$\displaystyle\frac{dy}{dx} = 2x(1+y^2)\sin(x^2)$$

Answer

$$\displaystyle\frac{dy}{dx} = -2x(1+y^2)\sin(x^2)$$

Answer

$$\displaystyle\frac{dy}{dx} = \frac{2x\sin(x^2)}{1+y^2}$$

Answer

$$\displaystyle\frac{dy}{dx} = 2x(1+y^2)\cos(x^2)$$

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