jika fungsi f(x)= x(12-2x)2 mempunyai nilai maksimum p dan nilai minimum q, maka p-q

f(x) = x(12 - 2x)²
f(x) = x(144 - 48x + 4x²)
f(x) = 144x - 48x² + 4x³
turunan = 0
144 - 96x + 12x² = 0
---------------------------- ÷ 12
12 - 8x + x² = 0
x² - 8x + 12 = 0
(x - 6)(x - 2) = 0
x = 6 dan x = 2
f(6) = 6(12 - 2(6))²
f(6) = 6(12 - 12)²
f(6) = 6(0) = 0 nilai minimum (q)
f(2) = 2(12 - 2(2))²
f(2) = 2(12 - 4)²
f(2) = 2(8)²
f(2) = 2(64)
f(2) = 128 nilai maksimum (p)
p - q = 128 - 0 = 128