Вычислите производную у=(x^2-1)*(x^2+2x-3). Created by katerina2899. matematika-ru

Вычислите производную у=(x^2-1)*(x^2+2x-3)...

August 2022 2 1 Report

Вычислите производную у=(x^2-1)*(x^2+2x-3)

Verified answer

Y ' = (x^2 - 1)'(x^2 + 2x - 3) + (x^2 + 2x - 3)'(x^2 -1) =
= 2x (x^2 + 2x - 3) + (2x + 2)(x^2 - 1) =
= 2x^3 + 4x^2 - 6x + (2x^3 - 2x + 2x^2 - 2) =
= 4x^3 + 6x^2 - 8x - 2 = 2(2x^3 + 3x^2 - 4x - 1)

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yarovoe у=(x²-1)·(x²+2x-3)=x⁴+2x³-3x²-x²-2x+3=x⁴+2x³-4x²-2x+3.
y'=4x³+6x²-8x-2

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Answers & Comments

Verified answer

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2 (2x-3)=-2...

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x, x0=1...

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