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question if -4y-y^2+x^3=-1-4y^3 then find (dy)/(dx) in terms of x and y. answer attemptiout of 3 (dy)/(dx)=

Question

Question If -4y-y^2+x^3=-1-4y^3 then find (dy)/(dx) in terms of x and y. Answer Attemptiout of 3 (dy)/(dx)=

Solution

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4.6 (269 Votos)
Natália Maria Profissional · Tutor por 6 anos

Resposta

To find , we need to differentiate both sides of the equation with respect to x. Differentiating the left side of the equation with respect to x, we get: Differentiating the right side of the equation with respect to x, we get: Setting these two derivatives equal to each other, we have: Simplifying this equation, we get: Dividing both sides by , we get: Simplifying further, we get: the derivative in terms of x and y is .