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Empleando derivación implícita em ambos lados de la expresión, se obtiene:

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\$2x + \\simplify[all,!collectNumbers]{2y*Diff(y,x,1) + {a} + {b} *Diff(y,x,1)} = 0\$
Tomando factor común $\\displaystyle\\frac{dy}{dx}$ y reordenando términos
\$(\\var{b} + 2y) \\frac{dy}{dx} = \\simplify[all,!collectNumbers]{{ -a} -2x}\$ por último, se despeja $\\displaystyle\\frac{dy}{dx}$:
\$\\frac{dy}{dx} = \\simplify[all,!collectNumbers]{({ - a} - 2 * x) / ({b} + (2 * y))}\$

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$\\displaystyle \\frac{dy}{dx}=$ [[0]]

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Ejemplo de respuesta: Digite (7−2x)/(9+2y) si la respuesta es$\\dfrac{7-2x}{9+dy}$

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Dada la función implícita en las variables $x$ y $y$
\$\\simplify[all,!collectNumbers]{x^2+y^2+{a}x+{b}y}=\\var{c}\$
Calcular$\\displaystyle \\frac{dy}{dx}$ usando derivación implícita, exprese la respuesta en términos de $x$ y $y$.

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Implicit differentiation.

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Given $x^2+y^2+ax+by=c$ find $\\displaystyle \\frac{dy}{dx}$ in terms of $x$ and $y$.

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