Differentiate $$K ( x ) = \left( 3 x ^ { 5 } + 1 \right) \left( x ^ { 6 } - 4 x \right)$$

question 28

Multiple Choice

Differentiate.
$$K ( x ) = \left( 3 x ^ { 5 } + 1 \right) \left( x ^ { 6 } - 4 x \right)$$

• A) \(15 x ^ { 4 } \left( x ^ { 6 } - 4 x \right) + \left( 3 x ^ { 5 } + 1 \right) \left( 6 x ^ { 5 } - 4 \right)\)
• B) \(\left( x ^ { 6 } - 4 x \right) + \left( 3 x ^ { 5 } + 1 \right)\)
• C) \(15 x ^ { 4 } \left( 6 x ^ { 5 } - 4 \right) + \left( 3 x ^ { 5 } + 1 \right) \left( x ^ { 6 } - 4 x \right)\)
• D) \(15 x ^ { 4 } \left( 6 x ^ { 5 } \right) + \left( 3 x ^ { 5 } \right) \left( x ^ { 6 } - 4 x \right)\)
• E) \(\left( 3 x ^ { 5 } + 1 \right) \left( x ^ { 6 } - 4 x \right) + 15 x ^ { 4 } \left( 6 x ^ { 5 } - 4 \right) + 1\)

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