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Practice: Derivative of Absolute Value Functions

Given f(x)=xf(x)=|x| and g(x)=xxg(x)=x|x|, determine the values of f(0)f'(0) and g(0)g'(0) if they exist.
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Practice: Derivative of y=x1/3

Find the derivative of y=x1/3y=x^{1/3} at the point x=0x=0 if it exists.
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Practice: General Form of the Product Rule

Determine the derivative of f(x)=g1(x) g2(x)...gn(x)f(x)=g_1\left(x\right)\ g_2\left(x\right)...g_n\left(x\right).