Question

помогите пожалуйста ​

Answer 1

(u*v)'=u'v+uv'

(u/v)'=(u'v-uv')/v²

(xⁿ)'=n*xⁿ⁻¹

(const)'=0

(√x)'=1/(2√x)

1) f'(x)=(√x*(3x²-2))'=(1/(2√x))*(3x²-2)+6x*√x=(7.5x²-1)/√x

2) g'(x)=((x-x²)/(x+4)')=(1-2x)*(x+4)-1*(x-x²))/(x+4)²=(x+4-2x²-8x-х+х²)/(x+4)²=

(4-x²-8x)/(x+4)²