$\text { Use logarithmic differentiation to find } \frac { d y } { d x } \text {. }$

question 48

Multiple Choice

$\text { Use logarithmic differentiation to find } \frac { d y } { d x } \text {. }$ $y = x ^ { 8 x }$

• A) \(8 x ^ { 7 x }\)
• B) \(8 x ^ { 8 x - 1 }\)
• C) \(8 x ^ { 8 x } \ln x\)
• D) \(8 ( \ln x + 1 )\)
• E) \(8 x ^ { 8 x } ( \ln x + 1 )\)

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Definitions:

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Hypothalamus

A small region of the brain's base responsible for regulating hormones, temperature, and maintaining homeostasis.

Inheritable Characteristic

A trait or feature that can be passed from one generation to the next through genes.

Mutation

A change in the DNA sequence within an organism's gene or chromosome, leading to variation in the genetic population.