Find the Derivative of the Function $$y = \frac { ( x - 10 ) \left( x ^ { 2 } + 4 x \right) } { x ^ { 3 } }$$

question 77

Multiple Choice

Find the derivative of the function.
- $$y = \frac { ( x - 10 ) \left( x ^ { 2 } + 4 x \right) } { x ^ { 3 } }$$

• A) \(\frac { d y } { d x } = x - \frac { 80 } { x ^ { 2 } } - \frac { 80 } { x ^ { 3 } }\)
• B) \(\frac { d y } { d x } = \frac { 6 } { x ^ { 2 } } + \frac { 80 } { x ^ { 3 } }\)
• C) \(\frac { d y } { d x } = \frac { 14 } { x ^ { 2 } } - \frac { 80 } { x ^ { 3 } }\)
• D) \(\frac { \mathrm { dy } } { \mathrm { dx } } = 80 + \frac { 80 } { \mathrm { x } }\)

Recognize the importance of considering contextual factors in behavior explanation.

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Identify strategies to reduce biases in attribution, including perspective-taking.

Understand the impact of political and social movements on American culture and policy in the late 20th century.

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Definitions:

Industrial Processing

The series of operations and procedures involved in transforming raw materials into finished goods or products within an industrial setting.

Sustainability

The practice of maintaining processes or states in a manner that avoids depleting natural resources, allowing ecological balance to be maintained for future generations.

Thinking Like

The approach or mindset adopted in order to resemble or replicate the thought processes of a particular group, situation, or individual.

Molecule

A molecule refers to the smallest unit of a chemical compound that can exist independently while retaining the composition and chemical properties of the compound.