f'(x)=ax+b dan f(1)-f(0)=4 , f(2)-f(1)=6 , maka a,b adalah...

INTEGRAL

f(x) = 1/2 ax^2 + bx + c

f(1) - f(0) = 4
(1/2 a + b + c ) - ( 0+0+c) = 4
1/2 a + b = 4 (kali 2)
a + 2b = 8 ........(1)

f(2)-f(1) = 6
(2a + 2b + c) -(1/2a + b + c) = 6
3/2 a + b = 6 (kali 2)
3a + 2b = 12 ......(2)

dr (1) dan (2)
a + 2b = 8
3a + 2b = 12
____________ __
-2a = -4
a = -4/-2
a = 2

a + 2b = 8 ...(1)
2b = 8-a
2b = 8-2
2b = 6
b = 6/2
b = 3

jadi a = 2 dan b = 3