Find the derivative of the funtion. f(x)=x^2(x-2)^4

Find the derivative of the funtion. f(x)=x^2(x-2)^4

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\[f(x)=x ^{2}(x-2)^{4}\]

Use product rule, y' = (x^2)(4)(x-2)^3+(x-2)^4 (2x) \[4x^{2}(x-2)^{3}+2x(x-2)^{4}\]

Teach you one technique, y=(left)(right) y'=(copy left)(differentiate right)+(copy right)(differentiate left)

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