Question

ДАЮ 50 баллов
Прошу помогите

Answer 1

$1)\; \; f(x)=2x^2+4\; \; ,\; \; f'(x)=4x\\\\f(x)=4x^3+6x+3\; \; ,\; \; f'(x)=12x^2+6\\\\\\2)\; a)\; \; g(x)=(x^2+6x-3)(x+1)\\\\g'(x)=(2x+6)(x+1)+(x^2+6x-3)\cdot 1=3x^2+14x+3\\\\b)\; \; g(x)=\frac{4x-7}{x^2+4}\\\\g'(x)=\frac{4(x^2+4)-2x(4x-7)}{(x^2+4)^2}=\frac{-4x^2+14x+16}{(x^2+4)^2}$

$3)\; \; f(x)=4x^3-2x+117\; \; ,\; \; \; f'(x)=12x-2\\\\f'(-2)=-24-2=-26$