If F(x) = X $( x - 1 ) ^ { 5 }$

question 61

Multiple Choice

If f(x) = x $( x - 1 ) ^ { 5 }$ and g(x) = $x ^ { 2 }$ , find $\frac { \mathrm { d } } { \mathrm { dx } }$ f(g(x) ) .

• A) 2x \(\left( x ^ { 2 } - 1 \right) ^ { 5 }\) + 10 \(x ^ { 2 }\) \(\left( x ^ { 2 } - 1 \right) ^ { 4 }\)
• B) \(\left( x ^ { 2 } - 1 \right) ^ { 5 }\) + 5 \(x ^ { 2 }\) \(\left( x ^ { 2 } - 1 \right) ^ { 4 }\)
• C) 2x \(\left( x ^ { 2 } - 1 \right) ^ { 5 }\) + 10 \(x ^ { 3 }\) ( \(x ^ { 2 }\) - 1)
• D) 2x \(\left( x ^ { 2 } - 1 \right) ^ { 5 }\) + 10 \(x ^ { 3 }\) \(\left( x ^ { 2 } - 1 \right) ^ { 4 }\)

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Definitions:

Visual Atrophy

The deterioration or weakening of vision or visual capacity, often due to the degeneration of optic structures.

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A condition characterized by the clouding of the eye's lens, leading to diminished vision, and often associated with aging.

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A disorder affecting the retina of the eyes, which can result in impaired vision or blindness, often arising from diseases such as diabetes.

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The ability to speak and understand two languages fluently.