Find the Derivative of the Function $$f ( t ) = ( 1 + 8 t ) ^ { \frac { 5 } { 9 } }$$

question 62

Multiple Choice

Find the derivative of the function. $$f ( t ) = ( 1 + 8 t ) ^ { \frac { 5 } { 9 } }$$

• A)\(f ^ { t } ( t ) = \frac { 40 } { 9 } ( 1 + 8 t ) ^ { \frac { - 4 } { 9 } }\)
• B)\(f ^ {t } ( t ) = \frac { 8 } { 9 } ( 1 + 8 t ) ^ { \frac { - 4 } { 9 } }\)
• C)\(f ^ { t } ( t ) = \frac { 1 } { 9 } ( 1 + 8 t ) ^ { \frac { - 4 } { 9 } }\)
• D)\(f ^ { t } ( t ) = \frac { 40 } { 9 } ( 1 + 8 t ) ^ { \frac { - 4 } { 5 } }\)
• E)\(f ^ { t } ( t ) = 8 ( 1 + 8 t ) ^ { \frac { - 4 } { 9 } }\)

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