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Find the Derivative Of f(x)=ln(2x2+1)3f ( x ) = \sqrt [ 3 ] { \ln \left( 2 x ^ { 2 } + 1 \right) }

Question 83

Multiple Choice

Find the derivative of f(x) =ln(2x2+1) 3f ( x ) = \sqrt [ 3 ] { \ln \left( 2 x ^ { 2 } + 1 \right) }


A) 1(6x2+3) ln(2x2+1) 3\frac { 1 } { \left( 6 x ^ { 2 } + 3 \right) \sqrt [ 3 ] { \ln \left( 2 x ^ { 2 } + 1 \right) } }
B) 4x(6x2+3) [ln(2x2+1) ]23\frac { 4 x } { \left( 6 x ^ { 2 } + 3 \right) \sqrt [ 3 ] { \left[ \ln \left( 2 x ^ { 2 } + 1 \right) \right] ^ { 2 } } }
C) 4x(6x2+3) ln(2x2+1) 3\frac { 4 x } { \left( 6 x ^ { 2 } + 3 \right) \sqrt [ 3 ] { \ln \left( 2 x ^ { 2 } + 1 \right) } }
D) 1(6x2+3) [ln(2x2+1) ]23\frac { 1 } { \left( 6 x ^ { 2 } + 3 \right) \sqrt [ 3 ] { \left[ \ln \left( 2 x ^ { 2 } + 1 \right) \right] ^ { 2 } } }

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