If $\mathbf { r } ( t ) = \left( t , t ^ { 5 } , t ^ { \imath } \right\rangle$

If $\mathbf { r } ( t ) = \left( t , t ^ { 5 } , t ^ { \imath } \right\rangle$ , find $\mathbf { r } ^ { tt } ( t )$

A) $\left( 0,42 t ^ { 4 } , 20 t ^ { 2 } \right\rangle$
B) $\left( 0,42 t ^ { 5 } , 20 t ^ { 3 } \right)$
C) $\left( 0,20 t ^ { 3 } , 42 t ^ { 5 } \right)$
D) $\left\langle 1,5 t ^ { 6 } , 7 t ^ { 8 } \right\}$
E) $\left( 0,20 t ^ { 2 } , 42 t ^ { 4 } \right)$

Correct Answer:

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