F(x)=2x+5, g(x)=2x+4/x+5, x ≠5 carilah f'(x) dan g'(x)

[tex] f(x)=2x+5[/tex], [tex] g(x)= \frac{2x+4} {x+5} [/tex], x ≠5

Maka,

[tex] f'(x) = 2 [/tex]

Diketahui bahwa,
[tex] (\frac{u} {v})' = \frac{u'v-v'u} {v^2} [/tex]

Maka,
[tex] g'(x) = \frac{2(x+5) - 1(2x+4)}{(x+5)^2} [/tex]

[tex] g'(x) = \frac{6}{(x+5)^2} [/tex]