Derivative of (x^(2/3))((6-x)^(1/3))

Derivative of (x^(2/3))((6-x)^(1/3)). Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Derivative of (x^(2/3))((6-x)^(1/3)): 


(x^(2/3)*(6-x)^(1/3))'

(x^(2/3))'*(6-x)^(1/3)+x^(2/3)*((6-x)^(1/3))'

(2/3)*x^(2/3-1)*(x)'*(6-x)^(1/3)+x^(2/3)*((6-x)^(1/3))'

(2/3)*x^(2/3-1)*1*(6-x)^(1/3)+x^(2/3)*((6-x)^(1/3))'

2/3*x^(-1/3)*(6-x)^(1/3)+x^(2/3)*((6-x)^(1/3))'

2/3*x^(-1/3)*(6-x)^(1/3)+x^(2/3)*(1/3)*(6-x)^(1/3-1)*(6-x)'

2/3*x^(-1/3)*(6-x)^(1/3)+x^(2/3)*(1/3)*(6-x)^(1/3-1)*((-x)'+(6)')

2/3*x^(-1/3)*(6-x)^(1/3)+x^(2/3)*(1/3)*(6-x)^(1/3-1)*((6)'-1)

2/3*x^(-1/3)*(6-x)^(1/3)+x^(2/3)*(1/3)*(6-x)^(1/3-1)*(0-1)

2/3*x^(-1/3)*(6-x)^(1/3)+x^(2/3)*(1/3)*(6-x)^(1/3-1)*(-1)

2/3*x^(-1/3)*(6-x)^(1/3)+x^(2/3)*-1/3*(6-x)^(-2/3)

(2/3)*x^(-1/3)*(6-x)^(1/3)-((1/3)*x^(2/3)*(6-x)^(-2/3))

The calculation above is a derivative of the function f (x)

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