What's a singular point? And is it different from a critical point?

[sacred spear]

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[amber jasper]

poortuguese yay

[timber atlas]

Perhaps a critical point at which the derivative doesn't exist?

[amber jasper]

so u need to find $k$ such that $0 + 2\arcsin(e^0) = k - ln(0+1)$

right?

[plain flicker]

nah i just want the b exercise

[buoyant quarry]

neruguis

[amber jasper]

ok

[plain flicker]

the a is just there to look good

it dont matte

[timber atlas]

I think you should just determine whether the critical point x = 0 is an extremum point or not.

[plain flicker]

i also do

[amber jasper]

lemme graph it to understand

[plain flicker]

im absolutely almost certain

but why the hell did they call it a singular point

[timber atlas]

Probably because the function is not differentiable at it.

[plain flicker]

oh yeah it isnt

thats a part of the exercise

since, in b they give you that k

[amber jasper]

well if k = 4

then it’s not continuous

[timber atlas]

Doesn't matter.

[amber jasper]

I know

[amber jasper]

what’s a singular point

[plain flicker]

heres a solution of a similar exercise

[amber jasper]

ok

[plain flicker]

apparently is when it isnt differentiable

[amber jasper]

okokok

so their derivatives are different

[plain flicker]

yuh uh

this isnt in the class papers though

thanks college

[amber jasper]

ok

so even if k = π, it’s not differentiable

[plain flicker]

bit of an issue

well , if you give k the right value to be the same result

as the other equation

it probably is

but oh well

[amber jasper]

I didn’t got what’s a singular point

but I think the question is a bit confusing

[plain flicker]

its a point where differentials give different values

[amber jasper]

even understanding the language too

[amber jasper]

ok

[plain flicker]

in 0-

[amber jasper]

and 0+

[plain flicker]

and à

0+

[amber jasper]

à?

[timber atlas]

Or just when one doesn't exist.

[amber jasper]

yeah

[timber atlas]

In any case, just prove that x = 0 is a maximum point. Should be pretty easy.

[plain flicker]

yup

the rest is easily done

thanks

[amber jasper]

+close it

[plain flicker]

+close