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trition
@trition
October 2021
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производная сложной функции
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lidusya13
Y'=((2x-3)^5)'(3x^2+2x+1)+((3x^2+2x+1))'(2x-3)^5=
10(2x-3)^4(3x^2+2x+1)+(6x+2)(2x-3)^5=
=(2x-3)^4(30x^2+20x+10+12x^2-18x+4x-6)=(2x-3)^4•(42x^2+6x+4);
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trition
последние 2 многочлена, куда степень делась?
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Answers & Comments
10(2x-3)^4(3x^2+2x+1)+(6x+2)(2x-3)^5=
=(2x-3)^4(30x^2+20x+10+12x^2-18x+4x-6)=(2x-3)^4•(42x^2+6x+4);