Let $f ( x ) = \int _ { 0 } ^ { x ^ { 2 } } t ^ { 2 } d t \text {. Find the value of } f ^ { \prime } ( 1 ) \text {. }$

Multiple Choice

Let $f ( x ) = \int _ { 0 } ^ { x ^ { 2 } } t ^ { 2 } d t \text {. Find the value of } f ^ { \prime } ( 1 ) \text {. }$

A) 4
B) 6
C) 8
D) 0
E) 2
F) 1
G) 3
H) 5