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Mathematics 13 Online
OpenStudy (anonymous):

why can you pull multiplicative constants when differentiating?

OpenStudy (owlfred):

Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

myininaya (myininaya):

i can prove it!

OpenStudy (anonymous):

because \[\lim_{h->0}\frac{cf(x+h)-cf(x)}{h}\] \[=c\times lim_{h->0}\frac{f(x+h)-f(x)}{h}\]

myininaya (myininaya):

\[\lim_{h \rightarrow 0}\frac{cf(x+h)-cf(x)}{h}=c \lim_{h \rightarrow 0}\frac{f(x+h)-f(x)}{h}=c*f'(x)\]

myininaya (myininaya):

it did it faster :(

OpenStudy (anonymous):

gave u both a medal :)

myininaya (myininaya):

:)

myininaya (myininaya):

i give you one too

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