Question

Помогите СРОЧНО!!! 1. f(x)=1/2x^6-4x^3+5x-1 f'(3)=? 2. f(x)= 3x-1/2+x f'(2)=? 3. f(x)=ln4x f'(1)=?

Answer 1

$1)\quad f(x)=\frac{1}{2}x^6-4x^3+5x-1\\\\f'(x)=\frac{1}{2}\cdot 6x^5-12x^2+5\\\\f'(3)=626\\\\2)\quad f(x)= \frac{3x-1}{2+x} \\\\f/(x)= \frac{3(2+x)-(3x-1)\cdot 1}{(2+x)^2} =\frac{7}{(2+x)^2}\\\\f'(2)=\frac{7}{81}\\\\3)\quad f(x)=ln4x\\\\f'(x)=\frac{1}{4x}\cdot (4x)'=\frac{1}{4x}\cdot 4=\frac{1}{x}\\\\f'(1)=1$