To find: The 50th derivative of .
The 50th derivative of is .
The function is .
The first derivative of is computed as follows,
Thus, the first derivative of is .
The second derivative of is computed as follows,
Simplify the terms,
Thus, the second derivative of is .
The third derivative of y is computed as follows,
Thus, the third derivative of is .
Proceed in the similar way, the 50th derivative y is computed as follows,
Since 50 = 12(4) + 2, the remainder is 2 and it corresponds with .
Therefore, the 50th derivative of is .
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