For $y = u \mathcal { \sqrt { u + 1 } }$

question 94

Multiple Choice

For $y = u \mathcal { \sqrt { u + 1 } }$ and $u = 2 x ^ { 2 } + 3$ , find $\frac { d y } { d x }$ .

• A) \(\left( 2 x ^ { 2 } + 4 \right) ^ { - 1 / 2 } \left( 12 x ^ { 3 } + 22 x \right)\)
• B) \(\left( 2 x ^ { 2 } + 3 \right) ^ { - 1 / 2 } \left( 12 x ^ { 3 } + 24 x \right)\)
• C) \(\left( 2 x ^ { 2 } + 4 \right) ^ { - 1 / 2 } ( 4 x )\)
• D) \(\left( 2 x ^ { 2 } + 3 \right) ^ { - 1 / 2 } ( 4 x )\)

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