︠abb0b24e-5509-4e49-8d73-b1648a033ce9︠
derivative(2*x*(1-x)^2,x)

︡3b219fc7-3a4a-4c37-9dd5-65a33657e1a3︡︡{"stdout":"2*(x - 1)^2 + 4*(x - 1)*x\n","done":false}︡{"done":true}
︠fd82da75-97bd-47f4-9ced-d6e75dd27ad5︠
derivative(3*x*(1-x)^3,x)
︡ee1107c4-c31d-4964-b1ef-c5e1b8248b7b︡︡{"stdout":"-3*(x - 1)^3 - 9*(x - 1)^2*x\n","done":false}︡{"done":true}
︠cbb3e51d-b5b9-4937-bdd1-6fd0a4351ee2︠
derivative(4*x*(1-x)^4,x)
︡c812c953-e9f2-4936-9a2c-c63f68ae4df8︡︡{"stdout":"4*(x - 1)^4 + 16*(x - 1)^3*x\n","done":false}︡{"done":true}
︠5651fce5-93ec-4ae3-9587-e68dd3b925be︠
derivative(5*x*(1-x)^5,x)
︡edd87090-4ed7-47a9-ae85-6d72f3a5c438︡︡{"stdout":"-5*(x - 1)^5 - 25*(x - 1)^4*x\n","done":false}︡{"done":true}
︠77364399-ade7-4cc8-b7ad-42302a685956︠












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