Use Implicit Differentiation to Find the Specified Derivative at the Given

question 309

Multiple Choice

Use implicit differentiation to find the specified derivative at the given point.
-Find $\frac { \partial y } { \partial z }$ at the point $( 2,3,3 )$ for $\frac { 2 } { x ^ { 2 } } + \frac { 2 } { y ^ { 2 } } + \frac { 4 } { z ^ { 2 } } = 0$ .

• A) 2
• B) \(- \frac { 1 } { 2 }\)
• C) \(\frac { 1 } { 2 }\)
• D) \(- 2\)

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Definitions:

Neurons

Specialized cells in the nervous system that transmit information to other nerve cells, muscle, or gland cells.

Glia

Non-neuronal cells in the central and peripheral nervous systems that do not produce electrical impulses but are critical for the support, protection, and nutrition of neurons.

Neuron

A specialized cell transmitting nerve impulses; the basic building block of the nervous system.

Dendrites

These are branched extensions of a neuron that receive signals from other neurons.