If \( x=\int_{c^{2}}^{\tan t} \tan ^{-1} z d z, y=\int_{n}^{\sqrt{t}} \frac{\cos \left(z^{2}\rig...
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If \( x=\int_{c^{2}}^{\tan t} \tan ^{-1} z d z, y=\int_{n}^{\sqrt{t}} \frac{\cos \left(z^{2}\right)}{z} d z \) than \( \frac{d y}{d x} \) is equal to
(a) \( \frac{\tan t}{2 t} \)
(b) \( \frac{\cos ^{2} t}{t^{2}} \)
(c) \( \frac{\cos ^{3} t}{2 t^{2}} \)
(d) \( \frac{\tan t^{2}}{2 t^{2}} \)
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