Question

Find the coordinates for the local maximum and local minimum for the graph
y=-x^5+3x^4+4x^2+1

Answer 1

Find y'
Then find when y'=0 (to find critical numbers)
Then test to see which of the critical numbers is a max or a min by using the second derivative or if you want you could use the first derivaitve and see if the function is increasing or decreasing before each critical point

Answer 2

for the maximum is it x=2.6311 and y=46.3698?

Answer 3

that is right for max
there should also be a local min too

Answer 4

is the minimum x=1.207 y=1?