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Mathematics 22 Online
OpenStudy (anonymous):

how do you differentiate 6xy with respect to x?

OpenStudy (lgbasallote):

is this implicit differentiation? if not then you consider y as a constant

OpenStudy (anonymous):

yeh sorry its inplicit defferentiation

OpenStudy (anonymous):

still don'know how to do it tho..

OpenStudy (lgbasallote):

you use product rule..however the derivative of y is y'

sam (.sam.):

6xy \[6(x\frac{dy}{dx}+y)\]

OpenStudy (anonymous):

huh isnt it...6dy/dx

OpenStudy (lgbasallote):

product rule jsmart...x times derivative of y plus y times derivative of x..remember?

OpenStudy (anonymous):

ok i will give u some trick so that u can solve implicit function easily

OpenStudy (cwrw238):

you treat y has a function of x so derivative of y is y'

OpenStudy (anonymous):

ok yeah i get it now, been a while since ive done product rule, cheers

OpenStudy (amistre64):

unless it states implicit; this would read more like a partial derivative

OpenStudy (amistre64):

the 6y is considered to be one big unknown constant K Kx derives to K K = 6y ....

OpenStudy (amistre64):

i really should wake up before attempting to read these things ;/

OpenStudy (lgbasallote):

though he did say that it will be solved via implicit so ha! :P haha jk

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