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If Y = Sin-1 X + Cos-1x Find (Dy)/(Dx) - Mathematics

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प्रश्न

If y = sin-1 x + cos-1x find  `(dy)/(dx)`.

योग
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उत्तर

y = `sin^-1 x  + cos^-1 x`

⇒`(dy)/(dx )= d/(dx) (sin^-1 x + cos^-1 x )`

= `d/(dx) (sin^-1 x) + d/(dx) (cos^-1 x)`

= `1/sqrt(1-x^2) - 1/sqrt(1-x^2)`

= 0

Therefore, `(dy)/(dx)` = 0.

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2018-2019 (March) 65/3/1
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