Write a Chain Rule Formula for the Following Derivative $\frac { \partial \mathrm { u } } { \partial \mathrm { t } }$

question 119

Multiple Choice

Write a chain rule formula for the following derivative.
- $\frac { \partial \mathrm { u } } { \partial \mathrm { t } }$ for $\mathrm { u } = \mathrm { f } ( \mathrm { v } ) ; \mathrm { v } = \mathrm { h } ( \mathrm { s } , \mathrm { t } )$

• A) \(\frac { \partial \mathrm { u } } { \partial \mathrm { t } } = \frac { \mathrm { dv } } { \mathrm { du } } \frac { \partial \mathrm { u } } { \partial \mathrm { t } }\)
• B) \(\frac { \partial \mathrm { u } } { \partial \mathrm { t } } = \frac { \mathrm { du } } { \mathrm { dv } } \frac { \partial \mathrm { v } } { \partial \mathrm { t } }\)
• C) \(\frac { \partial \mathrm { u } } { \partial \mathrm { t } } = \frac { \mathrm { du } } { \mathrm { dv } }\)
• D) \(\frac { \partial \mathrm { u } } { \partial \mathrm { t } } = \frac { \partial \mathrm { v } } { \partial \mathrm { t } }\)

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Definitions:

Sensorimotor Stage

Piaget’s first stage of cognitive development, lasting from birth to about two years of age, during which infants construct an understanding of the world by coordinating sensory experiences with motor (physical) actions.

Synaptic Connections

The points at which nerve cells (neurons) connect and communicate with each other, playing a critical role in transmitting information throughout the nervous system.

Myelination

The process of forming a myelin sheath around a nerve fiber, enhancing the speed and efficiency of signal transmission.

Neurons

One of two types of cells in the nervous system; neurons are the nerve cells that handle the information-processing function.