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  4. If x2 + y2 = 4, then y (dy/dx)+x =

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Q. If $x^{2} + y^{2} = 4$, then $y \frac{dy}{dx}+x =$

WBJEEWBJEE 2011Continuity and Differentiability

Solution:

Given, $x^{2}+y^{2}=4$
On differentiating w.r.t. $x$, we get
$2 x+2 y \frac{d y}{d x}=0$
$\Rightarrow y \frac{d y}{d x}+x=0$