Question

Найти производную f(x)=x^8
f(x)=-4x^3
y=3x^7-6x^5-4x^2+17
y=(x^3-2)(x^2+1)

Answer 1

1)f'(x)=8x^7
2)f'(x)=-12x^2
3)y'=21x^6-30x^4-8x
4)y'=(x^3-2)'(x^2+1)+(x^3-2)(x^2+1)'=x^2(x^2+1)+(x^3-2)x=x^4+x^2+x^4-2x=2x^4+x^2-2x