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Problem 7 Easy Difficulty

Find $ dy/dx $ by implicit differentiation.

$ x^4 + x^2y^2 + y^3 = 5 $

Answer

$$y^{\prime}=\frac{-4 x^{3}-2 x y^{2}}{2 x^{2} y+3 y^{2}}=-\frac{2 x\left(2 x^{2}+y^{2}\right)}{y\left(2 x^{2}+3 y\right)}$$

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PS

Parker S.

June 4, 2018

in the problem you set it equal to zero, when its supposed to be equal to 5.

Video Transcript

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