Partial derivatives:What does it mean when 0/0

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[vapid jacinth]

so , my problem with this is that once it is done it gives out 0/0, does that happen in these exercises when well done? if so, what should i do next? what value does it mean

[sacred robin]

$$ \frac{\partial f}{\partial x}(0,0) = \lim _{x\to 0} \frac{f(x,0)-f(0,0)}{x} = \lim _{x\to 0} \frac{0-0}{x} = 0 $$

[gentle geyser]

aL

[sacred robin]

@vapid jacinth

no, if the partial derivative exists it's a well defined number

not 0/0

[vapid jacinth]

hm

but look

f(0,0) is 0/0

[sacred robin]

nope

it's 0

[vapid jacinth]

fuck

right

cool

i think i got to be honest now

+close