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Find [tex]\frac{dy}{dx}[/tex] given [tex]cos(y^2) = x^4[/tex]

Is this correct:

1. [tex]cos(y^2) = x^4[/tex]

2. [tex]-sin(y^2) \times 2y \frac{dy}{dx} = 4x^3[/tex]

3. [tex]\frac{dy}{dx} = \frac{4x^3}{-2sin(y^2)}[/tex]

Is this correct:

1. [tex]cos(y^2) = x^4[/tex]

2. [tex]-sin(y^2) \times 2y \frac{dy}{dx} = 4x^3[/tex]

3. [tex]\frac{dy}{dx} = \frac{4x^3}{-2sin(y^2)}[/tex]

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