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CBSE Class 12 Mathematics 2026 Main Paper 65/3/3 · Q121 Marksinverse_trig_derivatives

CBSE Class 12 Mathematics 2026 Main Paper 65/3/3 · Question 12 (Continuity And Differentiability)

If y=2 arccos x, find dy/dx on −1<x<1.

✅ Step-by-Step Solution

Final Answer: −2 csc(y/2)
  1. Write x=cos(y/2). Differentiating gives 1=−(1/2)sin(y/2)y′, so y′=−2 csc(y/2).

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