$\text { Find } \frac { d y } { d x } \text { if } y = x ^ { 5 } e ^ { x ^ { 9 } }$

question 173

Multiple Choice

$\text { Find } \frac { d y } { d x } \text { if } y = x ^ { 5 } e ^ { x ^ { 9 } }$

• A) \(\frac { d y } { d x } = 5 x ^ { 6 } e ^ { x ^ { 9 } - 1 }\)
• B)\(\frac { d y } { d x } = e ^ { x ^ { 9 } } \left( \frac { x ^ { 6 } } { 6 } + \frac { x ^ { 10 } } { 10 } \right)\)
• C) \(\frac { d y } { d x } = e ^ { x ^ { 9 } } \left( 5 x ^ { 4 } + 9 x ^ { 13 } \right)\)
• D) \(\frac { d y } { d x } = e ^ { x ^ { 9 } } \left( x ^ { 5 } + x ^ { 9 } \right)\)
• E) \(\frac { d y } { d x } = 5 x ^ { 6 } e ^ { x ^ { 9 } }\)

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Definitions:

Long-Term Memory Storage

The process of retaining information over extended periods, ranging from days to a lifetime.

Frontal Lobes

The part of the brain located at the front of each cerebral hemisphere, responsible for voluntary movement, expressive language, and managing higher level executive functions.

Three-Stage Model

A model that describes memory processing in three distinct stages: sensory memory, short-term (or working) memory, and long-term memory.

Memory Storage

The process by which information is encoded, stored, and retrieved in the brain, forming the basis for learning and remembering.