Differentiate the following expressions by aid of the foregoing rules: \( x^{3} \sin x, x^{3} e^...

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Differentiate the following expressions by aid of the foregoing rules: \( x^{3} \sin x, x^{3} e^{x}, x^{3} \log _{e} x, x^{3} \tan x, x^{3} \log _{e} \sin x \)
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