Find $\frac { d y } { d x } \text { if } y = \ln \left( x ^ { 6 } \left( x ^ { 2 } - x + 4 \right) \right)$

question 11

Multiple Choice

Find $\frac { d y } { d x } \text { if } y = \ln \left( x ^ { 6 } \left( x ^ { 2 } - x + 4 \right) \right)$ .

• A) \(\frac { 8 x ^ { 2 } - 7 x + 24 } { x \left( x ^ { 2 } - x + 4 \right) }\)
• B) \(\frac { 8 x ^ { 2 } + 7 x - 24 } { x \left( x ^ { 2 } - x + 4 \right) }\)
• C) \(\frac { 8 x ^ { 2 } + 7 x + 6 } { x \left( x ^ { 2 } - x + 4 \right) }\)
• D) \(\frac { 2 x ^ { 2 } - 7 x - 6 } { x \left( x ^ { 2 } - x + 4 \right) }\)
• E) \(\frac { 2 x ^ { 2 } + 7 x + 24 } { x \left( x ^ { 2 } - x + 4 \right) }\)

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