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kristinakorostelova
@kristinakorostelova
July 2022
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найдите производную ,пожалуйстаааа
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DeSex
1) y' = (5x²+8x-6)' = (5x²)'+(8x)'+(6)' = 10x+8+0 = 10x+8
2) y' = [(x²+4x)(x-2)]' = (x²+4x)'(x-2)+(x²+4x)(x-2)' = (2x+4)(x-2)+(x²+4x) =
= 2(x+2)(x-2)+x²+4x = 2(x²-4)+x²+4x = 2x²-8+x²+4x = 3x²+4x-8
3)
4) y' = (cos x²)' = -sin x² (x²)' = -2x sin x²
5) y' = (sin²x)' = 2sin x (sin x)' = 2sin x cos x = sin2x
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Answers & Comments
2) y' = [(x²+4x)(x-2)]' = (x²+4x)'(x-2)+(x²+4x)(x-2)' = (2x+4)(x-2)+(x²+4x) =
= 2(x+2)(x-2)+x²+4x = 2(x²-4)+x²+4x = 2x²-8+x²+4x = 3x²+4x-8
3)
4) y' = (cos x²)' = -sin x² (x²)' = -2x sin x²
5) y' = (sin²x)' = 2sin x (sin x)' = 2sin x cos x = sin2x