Question:medium
If $e^{y}+x^{2}y+xy^{2}=e^{1}$, then $\frac{dy}{dx}$ at (0,1) is equal to ________.
If $e^{y}+x^{2}y+xy^{2}=e^{1}$, then $\frac{dy}{dx}$ at (0,1) is equal to ________.
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Implicitly differentiate and then plug in the point immediately to simplify algebra.
Updated On: Jun 24, 2026
- $\frac{1}{e}$
- $e$
- $-e$
- $\frac{2}{e}$
- $\frac{-1}{e}$
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The Correct Option is
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