Question

Determine ƒ(a + h) for ƒ(x) = 2x3.
1. ƒ(a + h) = 8(a3 + h3)
2. ƒ(a + h) = 2(a3 + 3a2h + 3ah2 + h3)
3. ƒ(a + h) = 2(a3 + a2h + ah2 + h3)
4. ƒ(a + h) = 8(a3 + 3a2h + 3ah2 + h3)

Answer 1

f(a+h)=2(a+h)³=2(a³+3a²h+3h²a+h³)
the second choice is the correct answer.