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cos^(-1)(1-2sin^(2)x)...

`cos^(-1)(1-2sin^(2)x)`

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Let `y=cos^(-1)(1-2sin^(2)x)`
`=cos^(-1)(cos2x)=2x`
`therefore (dy)/(dx)=(d)/(dx)(2x)=2(d)/(dx)(x)`
`=2xx1=2`
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-DIFFERENTIATION-Ex. 8 Solved Examples (Differentiate the following w.r.t. x)
  1. y=tan^(-1)((sinx)/(1+cosx)) Find dy/dx

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  2. cos^(-1)(1-2sin^(2)x)

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  3. sin^(-1)(cos3x)

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