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प्रश्न
(sin x + cos x)2
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उत्तर
`d/(dx) (sinx + cosx)^2 = d/(dx) (sinx + cosx)(sinx + cosx)`
= `(sin x + cosx) d/(dx) (sin x + cosx) + (sin x + cosx) d/(dx) (sin x + cosx)`
= `2(sinx + cosx) d/(dx) (sinx + cosx)`
= `2(sinx + cosx)(cosx - sin x)`
= `2(cos^2x - sin^2x)`
= `2 cos^2x`
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