$\text { Find the derivative of the algebraic function } H ( t ) = \left( t ^ { 6 } - 5 \right) \left( t ^ { 5 } + 6 \right)$

question 110

Multiple Choice

$\text { Find the derivative of the algebraic function } H ( t ) = \left( t ^ { 6 } - 5 \right) \left( t ^ { 5 } + 6 \right)$

• A) \(H ^ { t } ( s ) = 11 t ^ { 10 } + 36 t ^ { 5 } - 25 t ^ { 4 }\)
• B) \(H ^ { t } ( s ) = 11 t ^ { 10 } + 25 t ^ { 5 } + 36 t ^ { 4 }\)
• C) \(H ^ { t} ( s ) = 11 t ^ { 10 } + 36 t ^ { 5 } + 25 t ^ { 4 }\)
• D) \(H ^ {t } ( s ) = 11 t ^ { 10 } - 36 t ^ { 5 } - 25 t ^ { 4 }\)
• E) \(H ^ { t } ( s ) = 11 t ^ { 10 } + 25 t ^ { 5 } - 6 t ^ { 4 }\)

---

Definitions:

OSHA

The Occupational Safety and Health Administration is an agency of the U.S. government tasked with maintaining safe and healthy conditions in workplaces.

Two-tail Test

A statistical hypothesis test in which the critical area of a distribution is two-sided and tests whether a sample is greater or less than a range of values.

Sample Variances

Statistical measurements that quantify the dispersion or spread of data points within a sample from their mean.

F Test

A statistical test used to compare the variances of two populations and determine if they are significantly different from each other.