Use Logarithmic Differentiation to Find the Derivative of the Function $y=x^{x^{2}}$

question 152

Short Answer

Use logarithmic differentiation to find the derivative of the function. $y=x^{x^{2}}$

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Definitions:

Endocrine System

A network of glands in the body that secrete hormones into the bloodstream to regulate various body functions such as growth, metabolism, and mood.

Pineal Gland

A tiny gland in the brain responsible for making melatonin, which is a hormone that controls the sleep-wake rhythm.

Interneurons

Neurons responsible for sending signals between other neurons, particularly within a reflex arc of the central nervous system.

Nervous System

The network of nerve cells and fibers that transmits nerve impulses between parts of the body, coordinating its activities and enabling bodily functions and sensations.