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Problem For g ( x ) = csc ( 2 x 2 + 1 ) g(x)=\csc\bigl(2x^{2}+1\bigr) g ( x ) = csc ( 2 x 2 + 1 ) , which of the following is g ′ ( x ) g'(x) g ′ ( x ) ?
a) − 2 x csc ( 2 x 2 + 1 ) cot ( 2 x 2 + 1 ) -2x\,\csc\bigl(2x^{2}+1\bigr)\cot\bigl(2x^{2}+1\bigr) − 2 x csc ( 2 x 2 + 1 ) cot ( 2 x 2 + 1 )
b) − 4 x csc 2 ( 2 x 2 + 1 ) -4x\,\csc^{2}\bigl(2x^{2}+1\bigr) − 4 x csc 2 ( 2 x 2 + 1 )
c) − 4 x csc ( 2 x 2 + 1 ) cot ( 2 x 2 + 1 ) -4x\,\csc\bigl(2x^{2}+1\bigr)\cot\bigl(2x^{2}+1\bigr) − 4 x csc ( 2 x 2 + 1 ) cot ( 2 x 2 + 1 )
d) 4 x csc ( 2 x 2 + 1 ) cot ( 2 x 2 + 1 ) 4x\,\csc\bigl(2x^{2}+1\bigr)\cot\bigl(2x^{2}+1\bigr) 4 x csc ( 2 x 2 + 1 ) cot ( 2 x 2 + 1 )
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