Найдите производную функций

Question

Найдите производную функций

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Answer 1

Y = (x^4 +3x^3)^42
y' = ( (x^4 - 3x^3)^42 )' = 42*(x^4 - 3x^3)^41 * (x^4 - 3x^3)' =
= 42*(x^4 - 3x^3)^41 * ( (x^4)' - 3(x^3)') = 42*(x^4 - 3x^3)^41 * ( 4x^3 - 9x^2) =
= 42x^2*(x^4 - 3x^3)^41 * ( 4x - 9)