Calculate the Derivative $\frac { d } { d x } \left[ \sec \left( \frac { 6 x ^ { 3 } } { x ^ { 2 } - 1 } \right) \right]$

question 26

Multiple Choice

Calculate the derivative. $\frac { d } { d x } \left[ \sec \left( \frac { 6 x ^ { 3 } } { x ^ { 2 } - 1 } \right) \right]$

• A) \(\frac { 6 x ^ { 4 } - 18 x ^ { 2 } } { \left( x ^ { 2 } - 1 \right) ^ { 2 } } \csc \left( \frac { 6 x ^ { 3 } } { x ^ { 2 } - 1 } \right) \tan \left( \frac { 6 x ^ { 3 } } { x ^ { 2 } - 1 } \right)\)
• B) \(\frac { 6 x ^ { 3 } } { x ^ { 2 } - 1 } \csc \left( \frac { 6 x ^ { 3 } } { x ^ { 2 } - 1 } \right) \tan \left( \frac { 6 x ^ { 3 } } { x ^ { 2 } - 1 } \right)\)
• C) \(\frac { 6 x ^ { 4 } - 18 x ^ { 2 } } { \left( x ^ { 2 } - 1 \right) ^ { 2 } } \sec \left( \frac { 6 x ^ { 3 } } { x ^ { 2 } - 1 } \right) \tan \left( \frac { 6 x ^ { 3 } } { x ^ { 2 } - 1 } \right)\)
• D) \(\frac { 6 x ^ { 3 } - 18 x ^ { 2 } } { x ^ { 2 } - 1 } \sec \left( \frac { 6 x ^ { 3 } } { x ^ { 2 } - 1 } \right) \tan \left( \frac { 6 x ^ { 3 } } { x ^ { 2 } - 1 } \right)\)
• E) \(\frac { 6 x ^ { 4 } - 18 x ^ { 2 } } { \left( x ^ { 2 } + 1 \right) ^ { 2 } } \sec \left( \frac { 6 x ^ { 3 } } { x ^ { 2 } - 1 } \right) \tan \left( \frac { 6 x ^ { 3 } } { x ^ { 2 } + 1 } \right)\)

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