#Implicit differentiation

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quasi abyssBOT
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vestal flower
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...you use implicit differentiation.

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Like, that's the "how".

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Can you show your work?

fallow rampart
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dy/dx = -(3x^2+y)/(x+3y^2)

?

vestal flower
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That's one of the two solutions you say you got.

terse cobalt
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Looks like my difference to that answer is that my x is negative

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those are prime symbols not to the power of 1

vestal flower
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...that wasn't going to be my question.

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My question was going to be where the negative came from.

terse cobalt
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i suppose i kep the denominator the same from the prior step

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i just merged the two fractions like i would when adding any other fractions with a common denominator

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what would be the correct way to proceed from that step then?

vestal flower
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What are we differentiating again?

terse cobalt
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x^3 +xy +y^3 = 4?

vestal flower
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So where's the negative?

terse cobalt
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hm i think i've made a mistake in my earlier steps, let me redo this rq

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I have the same answer now

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Looks like I over complicated it last time

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would this be correct now?

tardy flare
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You still needing help with it?

terse cobalt