If $ x^{y} \cdot y^{x}=16 $, then $ \frac{d y}{d x} $ at $ (2,2) $ is

JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

x^{y} \cdot y^{x}=16

, then

\frac{d y}{d x}

(2,2)

View answer and explanation

Correct option: A

-1

Option A (-1) is correct because by differentiating the given equation implicitly and substituting the point (2,2), we find dy/dx = -1.

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