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Find Dy/Dx, If Y = Cos^-1 ( Sin 5x) - Mathematics and Statistics

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प्रश्न

Find `dy/dx, if y = cos^-1 ( sin 5x)`

योग
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उत्तर

`y = cos^-1 ( sin 5x )`

`y = cos^-1 [ cos( π/2 - 5x )]`

∴ `y = π/2 - 5x`

Diff.w.r.t.x.
`dy/dx = 0 - 5 xx 1`

`dy/dx = - 5`

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2015-2016 (March)

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