Jawabanmu

2014-05-29T00:01:54+07:00
Y = f ' (a) (x-a) + f(a)

f(x) = 5/x
f(1) = 5/1 = 5

f(x) = 5/x
misal: u=5, u'=0, v=x, v'=1
f ' (x) = u'v-uv' /v^2
        = 0 - (5)1 /x^2
        = -5/x^2
f' (1) = -5/(1)^2 = -5
Jadi persamaan singgung:
Y = f' (a) (x-a) + f(a)
   = -5    (x-1) +  5
   = -5x + 5 + 5
   = -5x + 10