F(x)=x^4-50x^2

Enter the critical points in increasing order.

(a)Use the derivative to find all critical points.

x1=

x2=

x3=

(b)Use a graph to classify each critical point as a local minimum, a local maximum, or neither.

x1=

is

a local minimum

a local maximum

neither.

x2=

is

a local minimum

a local maximum

neither.

x3=

is

a local minimum

a local maximum

neither.

2.The average adult takes about12breaths per minute. As a patient inhales, the volume of air in the lung increases. As the patient exhales, the volume of air in the lung decreases. Fortin seconds since start of the breathing cycle, the volume of air inhaled or exhaled sincet=0is given,¹in hundreds of cubic centimeters, by A(t)=-2cos(2/5)t+2.

A. how long is one breathing cycle?

b. Find A'(8)=

A'(8) =