Question Detail
Question
Find the fourth derivative of \( h(t) = 3t^7 - 6t^4 + 8t^3 - 12t + 18 \).
Correct Answer
Option A is the correct answer.
Detailed Explanation
( h' = 21t^6 - 24t^3 + 24t^2 - 12 ); ( h'' = 126t^5 - 72t^2 + 48t ); ( h''' = 630t^4 - 144t + 48 ); ( h^{(4)} = 2520t^3 - 144 ).
Hint
Successively apply the power rule four times.