$\text { Find the second derivative of the function } f ( x ) = 8 x ^ { \frac { 5 } { 9 } } \text {. }$

question 97

Multiple Choice

$\text { Find the second derivative of the function } f ( x ) = 8 x ^ { \frac { 5 } { 9 } } \text {. }$

• A)
• \(f ^ { tt } ( x ) = \frac { - 160 } { 81 } x ^ { \frac { 4 } { 9 } }\)
• B)
• \(f ^ {tt } ( x ) = \frac { 5 } { 81 } x ^ { \frac { - 13 } { 9 } }\)
• C)
• \(f ^ {tt } ( x ) = \frac { - 160 } { 81 } x ^ { \frac { - 13 } { 9 } }\)
• D)
• \(f ^ { tt } ( x ) = \frac { 160 } { 81 } x ^ { \frac { - 13 } { 9 } }\)
• E)
• \(f ^ { tt} ( x ) = 8 x ^ { \frac { - 13 } { 9 } }\)

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