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Using the Chain Rule :

derivative of (sinx)2 = 2(sinx)1 * (derivative of sinx)

d/dx (Sinx)2 = 2(sinx)1 * [d/dx (Sinx)]

d/dx (Sinx)2 = 2(sinx) * (cosx)

d/dx (Sinx)2 = 2 (sinx) * (cosx)

d/dx (Sinx)2 = 2 sin(x) * cos(x)

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