Prove that dxd{2xa2−x2+2a2asin−1x}=a2−x2

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Prove that {{d}}{{{.{d}{x}.}}}{{{x}}{{2}}{{{a}^{{2}}-{x}^{{2}}

Question

Prove that $\frac{d}{d x} {\frac{x}{2} a^{2} - x^{2} + \frac{a ^{2}}{2} \frac{sin ^{- 1} x}{a}} = a^{2} - x^{2}$

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Prove that

\frac{d}{d x} {\frac{x}{2} a^{2} - x^{2} + \frac{a ^{2}}{2} \frac{sin ^{- 1} x}{a}} = a^{2} - x^{2}

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Question Text

Prove that

\frac{d}{d x} {\frac{x}{2} a^{2} - x^{2} + \frac{a ^{2}}{2} \frac{sin ^{- 1} x}{a}} = a^{2} - x^{2}