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What will be the derivative of with respect to ?

Mathematics20222 marksMCQ
What will be the derivative of $\sin^{-1}\left(\frac{2x}{1+x^2}\right)$ with respect to $\cos^{-1}\left(\frac{1-x^2}{1+x^2}\right)$?
  • (a)-1
  • (b)1
  • (c)2
  • (d)4

Answer

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Continuity, Differentiability and Differentiation

From ISC 2022 Specimen Mathematics Paper 1, question 20.