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Mathematics 9 Online
OpenStudy (lovelyharmonics):

more derivatives .-.

OpenStudy (lovelyharmonics):

|dw:1399412825568:dw|

OpenStudy (dumbcow):

haha so now this one comes up well apply what i wrote the first time

OpenStudy (dumbcow):

btw this isn't a derivative problem

OpenStudy (lovelyharmonics):

well -6+0/0^4=-6/0=0 c: wait the what is it if not a derivative problem? .-.

OpenStudy (dumbcow):

no -6/0 = -infinity cant divide by 0 .... as you divide my a smaller number the result gets infinitely bigger

OpenStudy (dumbcow):

lol its a limit problem

OpenStudy (lovelyharmonics):

besides XD I told you i had more questions and im not looking for answers such as infinity and -infinity. im looking for an actual number and or the limit that it dosent extist

OpenStudy (queelius):

A derivative is a "rate of change" -- how does one variable change when another variable changes? In the average case, this is a secant; in the instantaneous case, this is a derivative. Limits are used to derive the derivative, e.g., the derivative is defined as: dy/dx = lim h->0 (f(x+h) - f(x))/h.

OpenStudy (dumbcow):

oh ok..... if divide by 0, limit does not exist

OpenStudy (lovelyharmonics):

.-. wtf why wouldnt it be 0? cuz anything multiplied or divided by 0 is 0....

OpenStudy (lovelyharmonics):

oh well.... another qustion that i dont get! |dw:1399413490780:dw|

OpenStudy (lovelyharmonics):

so if i plug in 2, i get 2^2+3(2)-1=4+6-1=9? right?

OpenStudy (dumbcow):

try putting 6/0 into your calculator

OpenStudy (queelius):

Dividing by 0 is not a valid operation, but when discussing limits, something like lim x->0 1/x^2 is +infinity, not 0.

OpenStudy (queelius):

Yes.

OpenStudy (dumbcow):

yes limit= 9 for that problem most limits are easy substitutions, they only become tricky when dealing with infinity and indeterminate forms

OpenStudy (lovelyharmonics):

wait why 6/0?

OpenStudy (kagıtucak):

|dw:1399414376741:dw| you can do it from L'Hospital rule. In this rule you just need to take derivative of nominator and dinominator. Thus, it equals to [d/dx(-6+x)]/[d/dx(x^4)] Therefore it becomes lim x goes to 1/4x^3=1/0= plus infinity

OpenStudy (lovelyharmonics):

what is said L'Hospital rule?

OpenStudy (kagıtucak):

it is just a useful by applying derivative to limit. you just need to tak derivative of up and down as i did, but it cannot be applied for 0/infinity or infinity/0

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