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Find dy/dx. 2x^2y^2=x^3+y^3
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\[(2x^2y^2)\prime=(2x^2)(y^2)\prime+(2x^2)\prime(y^2)\]
@esam2 can u calculate this ?^
i'm not that good at this...
\[(y^2)'=?\]
2y
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2yy'
\[(2x^2)'=?\]
4x
true
now can u differentiate right side?
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this is Implicit Functions
I'm very new to this concept, i need some help
\[(x^3)'= ? \] \[(y^3)'=?\]
3x 3y^2 y'?
correct . but \[(x^3)'=3x^2\]
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oh oops
\[(2x^2y^2)'=(x^3)'+(y^3)'\] \[(2x^2)(2yy')+(4x)(y^2)=(3x^2)+(3y^2y')\]
now find y'
\[\frac{ 3x^2-4xy^2 }{ 4x^2y-3y^2 }\] ???
correct :)
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thank you! :)
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