Use Logarithmic Differentiation to Find the Derivative of Y with Respect

question 92

Multiple Choice

Use logarithmic differentiation to find the derivative of y with respect to the independent variable.
- $$y = 4 x ^ { x ^ { 2 } }$$

• A) \(4 x ^ { x ^ { 2 } + 1 } ( 2 \ln 4 x )\)
• B) \(x ( 2 \ln 4 x + 1 )\)
• C) \(4 x ^ { x ^ { 2 } + 1 } ( 2 \ln 4 x + 1 )\)
• D) \(x ^ { x ^ { 2 } + 1 } \ln 4 x\)

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Definitions:

Generativity

The concern in establishing and guiding the next generation, often seen during middle adulthood.

Metalinguistics

The ability to reflect upon and analyze language as an abstract system.

Phonemes

The smallest units of sound in a language that can distinguish one word from another.

Syntax

The set of rules, principles, and processes that govern the structure of sentences in a given language.