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:

Environmental Changes

Alterations in the surrounding conditions, whether natural or man-made, that can impact ecosystems and human societies.

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A medical procedure used in prenatal diagnosis of chromosomal abnormalities and fetal infections, where a small amount of amniotic fluid is sampled from the amniotic sac surrounding a developing fetus.

CVS

Short for Chorionic Villus Sampling, a prenatal test that involves taking a sample of the chorionic villi to test for fetal abnormalities.

Prenatal Test

Medical tests conducted during pregnancy to assess the health and development of an unborn baby.