If $f ( x ) = - 2 ^ { - b x } , \text { find } f ^ { ( 10 ) } ( x )$

If $f ( x ) = - 2 ^ { - b x } , \text { find } f ^ { ( 10 ) } ( x )$ where k is a constant.

A) $2 ^ { - k x } ( - k \ln 2 )$
B) $2 ^ { - k x } ( k \ln 2 )$
C) $2 ^ { - k x } \left( - k ^ { 10 } \ln 2 \right)$
D) $2 ^ { - k x } \left( k ^ { 10 } \ln 2 \right)$
E) $2 ^ { - 6 x } \left( k ^ { 10 } ( \ln 2 ) ^ { 10 } \right)$
F) $2 ^ { - 5 x } k ^ { 10 } 2 ^ { 10 }$
G) $2 ^ { - k x } \left( - k ^ { 10 } \right) 2 ^ { 10 }$
H) $2 ^ { - k x } ( - 2 k )$

Correct Answer:

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