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Differentiate w.r.t. x
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-\frac{24}{5}x^{2}y^{3}-\frac{2}{3}x^{2}y^{3}+\frac{7}{15}x^{2}y^{3}
Combine \frac{1}{5}x^{2}y^{3} and -5x^{2}y^{3} to get -\frac{24}{5}x^{2}y^{3}.
-\frac{82}{15}x^{2}y^{3}+\frac{7}{15}x^{2}y^{3}
Combine -\frac{24}{5}x^{2}y^{3} and -\frac{2}{3}x^{2}y^{3} to get -\frac{82}{15}x^{2}y^{3}.
-5x^{2}y^{3}
Combine -\frac{82}{15}x^{2}y^{3} and \frac{7}{15}x^{2}y^{3} to get -5x^{2}y^{3}.