Calc2.140

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Find the derivative of f(x)=x^{2}{\sqrt  {9-x^{2}}}\,.


f'(x)=2x{\sqrt  {9-x^{2}}}+x^{2}{\frac  {1}{2}}(9-x^{2})^{{-1/2}}(-2x)\,

=2x{\sqrt  {9-x^{2}}}-x^{3}(9-x^{2})^{{-1/2}}\,


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