Calculate the Derivative of the Function $$f ( x ) = \frac { 8 } { x } ; f ^ { \prime } ( - 1 )$$

question 171

Multiple Choice

Calculate the derivative of the function. Then find the value of the derivative as specified.
- $$f ( x ) = \frac { 8 } { x } ; f ^ { \prime } ( - 1 )$$

• A) \(\mathrm { f } ^ { \prime } ( \mathrm { x } ) = 8 ; \mathrm { f } ^ { \prime } ( - 1 ) = 8\)
• B) \(f ^ { \prime } ( x ) = \frac { 8 } { x ^ { 2 } } ; f ^ { \prime } ( - 1 ) = 8\)
• C) \(f ^ { \prime } ( x ) = - \frac { 8 } { x ^ { 2 } } ; f ^ { \prime } ( - 1 ) = - 8\)
• D) \(f ^ { \prime } ( x ) = - 8 x ^ { 2 } ; f ^ { \prime } ( - 1 ) = - 8\)

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Definitions:

Oncogenes

Genes that have the potential to cause cancer when mutated or expressed at high levels.

Noncoding DNA

Segments of DNA that do not encode protein sequences, but may have regulatory functions and are involved in controlling gene expression.

Eukaryotic Chromosomes

Eukaryotic chromosomes are structures within the nucleus of eukaryotic cells, made up of DNA and protein, that carry genetic information.

Telomeres

The protective caps at the end of chromosomes that play a crucial role in cellular aging and replication, shortening with each cell division.