Differentiate $\frac { 5 } { x ^ { 3 } - 4 x ^ { 2 } + 2 }$

question 102

Multiple Choice

Differentiate.
-h(x) = $\frac { 5 } { x ^ { 3 } - 4 x ^ { 2 } + 2 }$

• A) h'(x) = \(\frac { 15 x ^ { 2 } - 40 x } { x ^ { 3 } - 4 x ^ { 2 } + 2 }\)
• B) h'(x) = \(\frac { 3 x ^ { 2 } - 8 x } { \left( x ^ { 3 } - 4 x ^ { 2 } + 2 \right) ^ { 2 } }\)
• C) h'(x) = \(\frac { - 15 x ^ { 2 } + 40 x } { \left( x ^ { 3 } - 4 x ^ { 2 } + 2 \right) ^ { 2 } }\)
• D) h'(x) = \(\frac { 5 } { \left( 3 x ^ { 2 } - 8 x \right) ^ { 2 } }\)

---

Definitions:

Contingency Table

A type of table in a matrix format that displays the (multivariate) frequency distribution of the variables.

Retired People

Individuals who have concluded their working or professional careers and are living in the phase of life beyond employment.

Career

The progression and actions taken by an individual throughout a lifetime, particularly related to their occupation or professional achievements.

Joint Frequency Distribution

A statistical analysis that shows the relationship between two categorical variables by displaying their frequencies of occurrence together.