Question:medium

If \( y = \tan^{-1}\left( \frac{\sqrt{x} - x}{1 + x^{3/2}} \right) \), then \( y'(1) \) is equal to:

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To differentiate inverse trigonometric functions, remember the chain rule and handle the rational expressions carefully.
Updated On: Nov 26, 2025
  • 0
  • \( \frac{1}{2} \)
  • -1
  • \(-\frac{1}{4}\)

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