найти производную y`=((x-2)^2(x+4))+3)`

Question

найти производную y`=((x-2)^2(x+4))+3)`

Answer 1

y`=((x-2)^2(x+4))+3)` = (x-2)^2'*(x+4)+(x-2)^2*(x-4)' = 2(x-2)(x+4)+(x-2)^2 =

= (x-2)(2(x+4)+x-2) = (x-2)(2x+8+x-2) = (x-2)(3x+6) = 3x^2-12

 

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