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the derivative of sec -1 [1/2x 2 -1] with respect to root[1-x 2 ] at x=1/2 is equal to?

the derivative of sec-1[1/2x2-1] with respect to root[1-x2] at x=1/2 is equal to?

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1 Answers

noogler
489 Points
6 years ago
Put x=coso in sec-1[1/2x2-1] then u  get 2o put again o=cos-1x then diff with respect to x......1
similarly put x=coso in [1-x2]½  u get sino put again o=cos-1x then diff with respecttox...........2
der of 1w.r.t 2 is 2d(cos-1x)/d(sin[cos-1x])=2/(1/2)=4

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