Differentiate
y = x​√a2-x2 / 2 + a2/2 sin-1x/a w.r.t.x

y = xa2-x22+a22sin-1xaSo dydx=12x×-2x2a2-x2+12a2-x2+a22×11-x2a2×1a=-x22a2-x2+12a2-x2+a22a2-x2=a2-x22a2-x2+12a2-x2=a2-x2+a2-x22a2-x2=a2-x2a2-x2=a2-x2

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