Maxima and Minima

[dreamy galleon]

@toxic tiger

resending so i can see full img

f'(x) is undefined wherever:

• f(x) abruptly changes direction. For example, f(x) = |x| has an undefined derivative at x = 0.
• f(x) is undefined. For example, f(x) = 1/x has an undefined derivative at x = 0.

one sec

@toxic tiger i havent watched this video, but according to the title it will help you out https://youtu.be/xuAiQOzIkWY

if u dont have the time to watch that entire video, i can also help

ya ofc

[dreamy galleon]

do you understand these two rules?

[dreamy galleon]

ok, so which ones apply to this problem

hint: ||only one applies to this problem. not both.||

ya perfect

[dreamy galleon]

in this case, i see that the function does not reach __+__3. where does the function stop on both sides?

we'll get to local minimums/maximums later

yep

in this case, the y-coordinate doesn't matter but its not problematic that you found them

so do you know how to write the interval notation for where f(x) is undefined?

not 1

youre referencing the y-values, which are completely useless right now

this is very close, but (-2.5,∞) should come before (2.5,∞)

So f(x) is undefined on (-2.5,∞) U (2.5,∞)

If f(x) = √x, then f'(x) is undefined at x = 0.

[dreamy galleon]

can you see how that applies to this problem

?

what im trying to get at is: f(x) stops at x = 2.5, so f'(x) is undefined at 2.5

so your answer should use [ instead of ( next to 2.5

make sure to do the same for -2.5

the part before the U is wrong

it should be (-oo, -2.5]