Question

Caranya gmna ini kak? :3

Answer 1

F'(x) = (2/3)(18x²-18x+12)
f'(x) = 12x²-12x+8
f'(1) = 8←gradien titik singgung

persamaan garis singgung:
y-y' = 8x - 8
8x-y+y'-8 = 0
px-y+p+1 = 0
maka p = 8 dan y' = 8+8+1
                          y' = 17

titik singgung di (1,17)
f(x) = ∫12x²-12x+8 dx
f(x) = 4x³-6x²+8x+ C

tentukan nilai C:
f(1) = 4x³-6x²+8x+ C
 17 = 4-6+8+C
  C = 11

f(x) = 4x³-6x²+8x+11
f(2) = 32-24+16+11
       = 35....................opsi C