Differentiate the Given Function $y = \sqrt { 6 x ^ { 6 } + 8 x }$

question 25

Multiple Choice

Differentiate the given function. $y = \sqrt { 6 x ^ { 6 } + 8 x }$

• A) \(\frac { 1 } { 2 } \left( 36 x ^ { 5 } + 8 \right) ^ { - 1 / 2 }\)
• B) \(\frac { 1 } { 2 } \left( 6 x ^ { 6 } + 8 x \right) ^ { - 1 / 2 }\)
• C) \(\frac { 1 } { 2 } \left( 36 x ^ { 6 } + 8 x \right) ^ { - 1 / 2 } \left( 6 x ^ { 6 } + 8 \right)\)
• D) \(\frac { 1 } { 2 } \left( 6 x ^ { 6 } + 8 x \right) ^ { - 1 / 2 } \left( 36 x ^ { 5 } + 8 \right)\)
• E) \(- \frac { 1 } { 2 } \left( 6 x ^ { 6 } + 8 x \right) ^ { - 3 / 2 } \left( 36 x ^ { 5 } + 8 \right)\)

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