Use the Limit Definition of the Partial Derivative to Compute $\text { Find } \frac { \partial f } { \partial z } \text { at the point } ( 6 , - 5,5 ) : f ( x , y , z ) = x y z - 10 y ^ { 2 } - 7 z$

question 407

Essay

Use the limit definition of the partial derivative to compute the indicated partial derivative of the function at the specified point.
- $\text { Find } \frac { \partial f } { \partial z } \text { at the point } ( 6 , - 5,5 ) : f ( x , y , z ) = x y z - 10 y ^ { 2 } - 7 z$

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Definitions:

Left Ventricle

The heart's compartment that takes in blood rich in oxygen from the left atrium and then pushes it through the aorta to circulate around the body.

Pulmonary Trunk

A major blood vessel of the human heart that originates from the right ventricle and splits into the left and right pulmonary arteries, which transport deoxygenated blood to the lungs.

Right Ventricle

One of the four chambers of the heart, responsible for pumping deoxygenated blood to the lungs through the pulmonary artery.

Dicrotic Notch

A slight dip observed on the descending limb of the arterial pulse waveform, representing a brief increase in aortic pressure following closure of the aortic valve.