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

Question

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

Answer 1

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)   

Answer 2

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