Find the Derivative of the Function $y=(3 x+1)^{9}\left(x^{4}-6\right)^{3}$ A) $y^{\prime}=27(3 x+1)^{8}\left(x^{4}-6\right)^{3}+12 x(3 x+1)^{9}\left(x^{4}-6\right)^{2}$

question 43

Multiple Choice

Find the derivative of the function. $y=(3 x+1) ^{9}\left(x^{4}-6\right) ^{3}$

• A) \(y^{\prime}=27(3 x+1)^{8}\left(x^{4}-6\right)^{3}+12 x(3 x+1)^{9}\left(x^{4}-6\right)^{2}\)
• B) \(y^{\prime}=27(3 x+1)^{8}\left(x^{4}-6\right)^{3}+(3 x+1)^{9}\left(x^{4}-6\right)^{2}\)
• C) \(y^{\prime}=27(3 x+1)^{8}\left(x^{4}-6\right)^{3}+12 x^{3}(3 x+1)^{9}\left(x^{4}-6\right)^{2}\)
• D) \(y^{\prime}=(12 x+27)(3 x+1)^{9}\left(x^{4}-6\right)^{3}\)
• E) \(y^{\prime}=(x+1)^{8}\left(x^{4}-6\right)^{3}+12 x(3 x+1)^{9}\left(x^{3}-6\right)^{2}\)

Understand the significance of physical growth as an indicator of a child's overall health.

Recognize the impact of chronic diseases and conditions on physical appearance and measurements.

Grasp correct techniques and guidelines for measuring a patient's body dimensions accurately.

Associate specific weight change patterns with underlying health conditions.

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Definitions:

Hot Stove Rule

A principle in management and discipline that suggests consequences should be immediate, consistent, impersonal, and close to the action of misconduct, akin to touching a hot stove.

Progressive Discipline

The process of tying reprimands to the severity and frequency of misbehaviour.

Incremental Discipline

A method where disciplinary actions progressively increase with each recurrence of undesirable behavior.