f(x)=x(x-2)^2/3 求导化简求具体过程!

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f(x)=x(x-2)^2/3求导化简求具体过程!f(x)=x(x-2)^2/3求导化简求具体过程!f(x)=x(x-2)^2/3求导化简求具体过程!f''(x)=(x/3)''(x-2)^2+(x/3)

f(x)=x(x-2)^2/3 求导化简求具体过程!
f(x)=x(x-2)^2/3 求导化简求具体过程!

f(x)=x(x-2)^2/3 求导化简求具体过程!
f'(x)=(x/3)'(x-2)^2+(x/3)[(x-2)^2]'
=(x-2)^2/3+(x/3)(2x-4)
=(x^2-4x+4)/3+(2x^2-4x)/3
=(3x^2-8x+4)/3
=(3x-2)(x-2)/3