Найти производную:
1) y=x^4+4x^3-8x^2-5
2)y=(x^3-2x)(x^2-x)
3)y=cos(4x-5)
4)y=2x^2/1-7x
1) y=x^4+4x^3-8x^2-5
2)y=(x^3-2x)(x^2-x)
3)y=cos(4x-5)
4)y=2x^2/1-7x
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Verified answer
1) y' = 4x^3 + 12x^2 - 16x2) y' = (3x^2 - 2)(x^2 - x) + (x^3 - 2x)(2x - 1)
3) y' = -4sin(4x - 5)
4) y' = (4x(1-7x) +14x^2)/(1-7x)^2
2)y=(3x^2-2)(x^2-x)+(x^3-2x)(2x)=3x^4-3x^3-2x^2+2x
3)y=-sin(4x-5)*4
4)y=(4x-28x^2+14x^2)/(1-7x)^2=(4x-14x^2)/(1-7x)^2