Question

Jika f(2) = 3 ; f'(2)=6; g(2)=1 ; g'(2)= 4
h(x) = f(x) g(x)
________
f(x) - g(x)
berapa nilai h(x)

Answer 1

F(x) = ax + b
f '(2) = a = 6
f(x) = 6x + b
f(2) = 6.2 + b = 3
         12 + b = 3
               b = -9
f(x) = 6x - 9

g(2) = cx + d
g'(2) = c = 4
g(x) = 4x + d
g(2) = 4.2 + d = 1
           8 + d = 1
                 d = -7
g(x) = 4x - 7

h(x) = f(x) g(x)
        f(x) - g(x)
h(x) = (6x- 9) (4x - 7) = 24x² - 78x + 63 
      (2x - 1) - (4x - 7)        -2x + 6