MTH102 TMA1 Questions and Solutions : Differentiate \[y=3\sqrt(x^2)(2x-x^{2})\] with respect to x

Differentiate \[y=3\sqrt(x^2)(2x-x^{2})\] with respect to x
a) \[y=\frac{10 x^{\frac{2}{3}}}{3}-\frac{8 x^{\frac{5}{3}}}{3}\]
b) \[y=\frac{10 x^{\frac{2}{3}}}{3}+\frac{8 x^{\frac{5}{3}}}{3}\]
c) \[y=\frac{5 x^{\frac{2}{3}}}{3}-\frac{4 x^{\frac{5}{3}}}{3}\]
d) \[y=\frac{5 x^{\frac{2}{3}}}{3}+\frac{4 x^{\frac{5}{3}}}{3}\]

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