Найдите производную функции:g(х) = (4 - 3х)÷(х+2)

Question

Найдите производную функции:

g(х) = (4 - 3х)÷(х+2)

Answer 1

((4-3x)/(x+2))`= ((4-3x)`(x+2)-(4-3x)(x+2)`)/(x+2)^2=(-3(x+2)-4+3x)/(x+2)^2=

=(-3x-6-4+3x)/(x+2)^2=-10/(x+2)^2.

Answer 2

(U/V)'=(U'V-UV')÷(V²)

g'(x)= -10÷((x+2)²)