Find the derivative of d{x^2(1+x)(2-x)}/dx

Steps to solve Find the derivative of d{x^2(1+x)(2-x)}/dx

=d{x^2(1+x)(2-x)}/dx

=d{2x^2+x^3-x^4}/dx

=d(2x^2)/dx+d(x^3)/dx-d(x^4)/dx

=2.2x+3.x^2-4.x^3

=4x+3x^2-4x^3

Hence the derivative of d{x^2(1+x)(2-x)}/dx is 4x+3x^2-4x^3

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