Please explain the answer. Thanks.

1. Determine the critical points of the function

f(y)= 3y⁴-6x³-2

Determine the intervals on which f(y) is increasing or decreasing.

Use the first derivative test to determine if the critical points you determine are the location of relative maximum or relative minimum or an inflection point.

2. Compute antiderivatives for each of the following functions.

a. f(z)= z -3z²+7z⁴

b. f(z)= 8e^-7z

c. f(z) = 3/z