implicit

[rotund ice]

i do understand whats happening but just one thing i cannot understand
why wrt to x?
what if there are three variables?
x^2+y^2+g^2 = 12

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[rotund ice]

so then can we do wrt to g?

or smthing

thanks

[pine sable]

what is wrt

is that with respect to?

[pine sable]

if the questions asks for dy/dx
it is with respect to x (the variable on the bottom)

i assume the dy/dx in the top left is the question asking you to find the derivative

[rotund ice]

so if its written

[rotund ice]

dy/dg

then how will we find

[rotund ice]

ya

[pine sable]

give me a question

oh

x^2+y^2+g^2 = 12

for this

[rotund ice]

yes

[pine sable]

you want to find derivative wrt g?

[rotund ice]

yes

[pine sable]

okay

so first

differentiate each term

what is x^2 differentiated

2x right?

[rotund ice]

yup

[pine sable]

d(variable)/d(wrt)

so its

2x (dx/dg)

y^2 differentiated wrt g would be

dy/dg * 2y

g^2 differentiated wrt g would be

[rotund ice]

2g

[pine sable]

2g * dg/dg

and the dg/dg cacnels out

so you get 2g

[rotund ice]

alrighty

[pine sable]

and 12 is just a constant so 0

[rotund ice]

thank you very much

yes

yes

[pine sable]

no worries

hope you understand now

[rotund ice]

yes

+close

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