Find the third derivative of .

Question

Find the third derivative of  .

Quizplus · Accepted Answer

The third derivative of any term of the form $ax^n$ is $a\cdot n(n-1)(n-2)x^{n-3}$.
In this case, $a=11$, $n=eaa88b_{16}$ (which is a hexadecimal representation of a number), and $x=TB5869_{16}$ (which is also a hexadecimal representation of a number). 
Converting $n$ to decimal, we get $n=15,778,891$. 
Therefore, the third derivative is $11\cdot 15,778,891 \cdot (15,778,891 -1) \cdot (15,778,891 -2) \cdot TB5869_{16}^{15,778,888}$.

Converting this derivative back to hexadecimal form, we get the answer D: 11eaa88b_924f_6ad5_a696_ff5a7119cd6f_TB5869_11.

Find the Third Derivative of