Find the derivative of the given function. Simplify and express the answer using positive exponents only.

c ( x ) = 3 x \sqrt { x ^ { 9 } + 7 }

$Find the derivative of the given function. Simplify and express the answer using positive exponents only. c ( x ) = 3 x \sqrt { x ^ { 9 } + 7 } A) \frac { 3 \left( 11 x ^ { 9 } - 14 \right) } { 2 \left( x ^ { 9 } + 7 \right) ^ { 1 / 2 } } B) \frac { 3 \left( 9 x ^ { 9 } - 14 \right) } { 2 \left( x ^ { 9 } + 7 \right) ^ { 1 / 2 } } C) \frac { 3 \left( 9 x ^ { 9 } - 14 \right) } { \left( x ^ { 9 } + 7 \right) ^ { 1 / 2 } } D) \frac { 3 \left( 11 x ^ { 9 } + 14 \right) } { 2 \left( x ^ { 9 } + 7 \right) ^ { 1 / 2 } } E) \frac { 3 \left( 9 x ^ { 9 } + 14 \right) } { \left( x ^ { 9 } + 7 \right) ^ { 1 / 2 } }$
A)

\frac { 3 \left( 11 x ^ { 9 } - 14 \right) } { 2 \left( x ^ { 9 } + 7 \right) ^ { 1 / 2 } }

\frac { 3 \left( 9 x ^ { 9 } - 14 \right) } { 2 \left( x ^ { 9 } + 7 \right) ^ { 1 / 2 } }

\frac { 3 \left( 9 x ^ { 9 } - 14 \right) } { \left( x ^ { 9 } + 7 \right) ^ { 1 / 2 } }

\frac { 3 \left( 11 x ^ { 9 } + 14 \right) } { 2 \left( x ^ { 9 } + 7 \right) ^ { 1 / 2 } }

\frac { 3 \left( 9 x ^ { 9 } + 14 \right) } { \left( x ^ { 9 } + 7 \right) ^ { 1 / 2 } }

The Cost C (In Dollars) of Producing X Units of a Product

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