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Find the Derivative of the Given Function c(x)=3xx9+7c ( x ) = 3 x \sqrt { x ^ { 9 } + 7 }

question 52

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Find the derivative of the given function. Simplify and express the answer using positive exponents only. c(x) =3xx9+7c ( 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 } }

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