Question

Find dy/dx, if x2 + y2 = 25
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Answer 1

Answer:

Here is your answer

${x}^{2} + {y}^{2} = 25 \\ differentiate \: w.r.t. \: x \\ 2x + 2y \frac{dy}{dx} = 0 \\ 2y \frac{dy}{dx} = - 2x \\ \frac{dy}{dx} = \frac{ - 2x}{2y} \\ \frac{dy}{dx} = - \frac{x}{y}$

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