diketahui fungsi f(x) = x3-px3 +q dan f'(x) turunan pertama f(x). jika f (1) = 2 dan f' (2) = -4, tentukan nilai p + q.

f(x) = x3-px3+q
f(1) = x3-px3+q= 2
f(1) = 1-p+q = 2
1-2 = p-q
-1 = p-q

f'(2) = -4
f'(x) = 3x2 - 3px2
f'(2) = 12 - 12p = -4
-12p = -20
p= 20/12

-1 = p-q
-1 = (20/12) -q
32/12 = q

p+q = (20/12) + (32/12) = 52/12