Пошаговое'= объяснение:
1)y'=2x
2)y'=10x^4
3)y'=12x^5+8
4)y'=-12x+7
5)y'=-6x+36x^8-1
6)y'=14x^6-35x^4+9
7)y'=9/x^2+7
8)y'=3x^2+1/√x
9)y'=5cosx+5sinx+9/cos^2x
10)y'=10e^x-(5^x)ln5
11)y'=2/xln3
12)y'=x+1+x=2x+1
13)y'=-2/x^3
14)y'=(2x(x^3-1)-x^2*3x^2)/(x^3-1)^2=(2x^4-2x-3x^4)/(x^3-1)^2=(-x^4-2x)/(x^3-1)^2=-2x(x^3+1)/(x^3-1)^2
15)y'=e^x*sinx+e^x*cosx
16)y'=3x^2(4+2x-x^2)+x^3*(2-2x)=12x^2+6x^3-3x^4+2x^3-2x^4=-5x^4+8x^3+12x^2
17)y'=2x(3x+x^3)+x^2*(3+3x^2)=6x^2+2x^4+3x^2+3x^4=5x^4+9x^2
18)y'=2(1-x^3)+(2x-3)*(-3x^2)=2-2x^3-6x^3+9x^2=-8x^3+9x^2+2
19)y'=(2*(3-5x)-(1+2x)*(-5))/(3-5x)^2=(6-10x+5+10x)/(3-5x)^2=11/(3-5x)^2
Пошаговое'= объяснение:
1)y'=2x
2)y'=10x^4
3)y'=12x^5+8
4)y'=-12x+7
5)y'=-6x+36x^8-1
6)y'=14x^6-35x^4+9
7)y'=9/x^2+7
8)y'=3x^2+1/√x
9)y'=5cosx+5sinx+9/cos^2x
10)y'=10e^x-(5^x)ln5
11)y'=2/xln3
12)y'=x+1+x=2x+1
13)y'=-2/x^3
14)y'=(2x(x^3-1)-x^2*3x^2)/(x^3-1)^2=(2x^4-2x-3x^4)/(x^3-1)^2=(-x^4-2x)/(x^3-1)^2=-2x(x^3+1)/(x^3-1)^2
15)y'=e^x*sinx+e^x*cosx
16)y'=3x^2(4+2x-x^2)+x^3*(2-2x)=12x^2+6x^3-3x^4+2x^3-2x^4=-5x^4+8x^3+12x^2
17)y'=2x(3x+x^3)+x^2*(3+3x^2)=6x^2+2x^4+3x^2+3x^4=5x^4+9x^2
18)y'=2(1-x^3)+(2x-3)*(-3x^2)=2-2x^3-6x^3+9x^2=-8x^3+9x^2+2
19)y'=(2*(3-5x)-(1+2x)*(-5))/(3-5x)^2=(6-10x+5+10x)/(3-5x)^2=11/(3-5x)^2