Derivative of (400-x^2)x

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Derivative of (400-x^2)x:


(x*(400-x^2))'

(x)'*(400-x^2)+x*(400-x^2)'

1*(400-x^2)+x*(400-x^2)'

1*(400-x^2)+x*((-x^2)'+(400)')

1*(400-x^2)+x*(2*x^(2-1)+(400)')

1*(400-x^2)+x*(0-2*x)

1*(400-x^2)+x*-2*x

400-x^2-(2*x^2)

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

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