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Calculate the Derivative ddx([lnx][cot(6x+5)])\frac { d } { d x } ( [ \ln | x | ] [ \cot ( 6 x + 5 ) ] )

Question 5

Multiple Choice

Calculate the derivative. ddx([lnx][cot(6x+5) ]) \frac { d } { d x } ( [ \ln | x | ] [ \cot ( 6 x + 5 ) ] )


A) cot(6x5) x6lnxcsc2(6x5) \frac { \cot ( 6 x - 5 ) } { x } - 6 \ln | x | \csc ^ { 2 } ( 6 x - 5 )
B) cot(6x+5) x6lnxcsc2(6x+5) \frac { \cot ( 6 x + 5 ) } { x } - 6 \ln | x | \csc ^ { 2 } ( 6 x + 5 )
C) 6lnxcsc2(6x+5) - 6 \ln | x | \csc ^ { 2 } ( 6 x + 5 )
D) cot(6x+5) x\frac { \cot ( 6 x + 5 ) } { x }
E) tan(6x+5) x6lnxcsc2(6x5) \frac { \tan ( 6 x + 5 ) } { x } - 6 \ln | x | \csc ^ { 2 } ( 6 x - 5 )

Correct Answer:

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