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Differentiate the following w.r.t x: \(\left\{\cfrac{\sqrt{\text x}-\text x}{1+\text x^{3/2}}\right\}\)

tan-1{√x - x}/{1 + x3/2}

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To find: Value of  tan-1\(\left\{\cfrac{\sqrt{\text x}-\text x}{1+\text x^{3/2}}\right\}\)

 The formula used: (i) cos θ  = sin\(\left(\cfrac\pi2-\theta\right)\)

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