Find the Critical Point(s) of the Function

question 153

Multiple Choice

Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function.

• A) (1, 0); relative maximum value: f(1, 0) = 2
• B) (0, 0); relative minimum value: f(0, 0) = 5
• C) (0, - 1); saddle point: f(0, - 1) = - 5
• D) there are no critical points

---

Definitions:

Action Potential

A rapid, temporary change in the electrical charge of a cell membrane, essential for nerve signal transmission.

Dendrite

A branched projection of a neuron that receives signals from other neurons or sensory stimuli and conducts these to the cell body.

Axon

An axon is a long, slender projection of a nerve cell, or neuron, that typically conducts electrical impulses away from the neuron's cell body.

Reuptake

The absorption of a neurotransmitter by a neurotransmitter transporter of a pre-synaptic neuron after it has performed its function of transmitting a neural impulse.