Given Y = F(u) and U = G(x), Find Dy/dx $$y = u ( u - 1 ) , u = x ^ { 2 } + x$$

question 7

Multiple Choice

Given y = f(u) and u = g(x) , find dy/dx = f(g(x) ) g(x) .
- $$y = u ( u - 1 ) , u = x ^ { 2 } + x$$

• A) \(4 x ^ { 3 } + 6 x ^ { 2 } - 2 x\)
• B) \(4 x ^ { 3 } + 6 x ^ { 2 } - 1\)
• C) \(2 x ^ { 2 } + 4 x + 1\)
• D) \(2 x ^ { 2 } + 4 x\)

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Definitions:

Standardized Test

A test administered and scored in a consistent manner to assess the performance of individuals on a comparative basis.

Standard Deviation

A statistical measure of the dispersion or variability within a data set, indicating how much individual data points differ from the mean value of the set.

Normally Distributed

A statistical term describing data that falls into a symmetrical, bell-shaped curve when plotted.

Illusion

A false perception or misinterpretation of a real sensory experience.