odpoveď:
# Y = 1 / 2x + 2 #
vysvetlenie:
# F (x) = x + 2 / x #, # D_f = RR #*# = (- oo, 0) uu (0, + oo) #
pre túto chvíľu # násobok! = 0 # máme
# F '(x) = (x + 2 / x)' = 1-2 / x ^ 2 #
Rovnica priamky dotyčnice na #M (2, f (2)) # bude
# Y-f (2) = f '(2), (x-2) # #<=>#
# y-3 = (1-2 / 4) (x-2) #<=>#
# Y-3 = 1/2 (X-2) # #<=>#
# Y = 1 / 2x + 2 #