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Mathematics 7 Online
OpenStudy (arianna1453):

Calculus help! *Medal**

OpenStudy (arianna1453):

OpenStudy (arianna1453):

I know Its NOT A

OpenStudy (arianna1453):

Like roman numeral "I" is wrong correct? which would leave the answer to be B.

OpenStudy (arianna1453):

I think.. .I just confused myself.

OpenStudy (zarkon):

you are correct

OpenStudy (er.mohd.amir):

I is correct.

OpenStudy (arianna1453):

Are you sure?

OpenStudy (er.mohd.amir):

yes

OpenStudy (zarkon):

I is false...consider \(f(x)=x^3\) \(f'(0)=0\) but you do not have a max or min at x=0

OpenStudy (arianna1453):

OpenStudy (er.mohd.amir):

i thick I and III is correct option C.

OpenStudy (er.mohd.amir):

in lim Q ans is 1

OpenStudy (er.mohd.amir):

use L'Hospital rule

OpenStudy (er.mohd.amir):

for max or min f'(x)=0 and f''(x) not equal to 0.

OpenStudy (arianna1453):

I got undefined.

OpenStudy (zarkon):

how did you get that answer

OpenStudy (arianna1453):

I just plugged in 1 for x.

OpenStudy (zarkon):

you need to do more work than that since the limit does exist

OpenStudy (arianna1453):

Dont you take the derivative of the top and bottom functions?

OpenStudy (zarkon):

\[\frac{\ln(x^2)}{x^2-1}=\frac{2\ln(x)}{x^2-1}\] then use L'Hospital's rule

OpenStudy (arianna1453):

getting 2/x/2x

OpenStudy (zarkon):

ok...now plug in a 1

OpenStudy (arianna1453):

Which gets 1.

OpenStudy (zarkon):

yes

OpenStudy (arianna1453):

what about this?

OpenStudy (zarkon):

you should post new question in a new post

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