Physics questions

March 28, 2026Physics

ScanSolve AI Answer

March 28, 2026

Answer

12$.

Step 1: Find the derivative $\frac{dy}{dx}$ of the curve $x^2 + x^2y = 12$ . The equation of the curve is $x^2 + x^2y = 12$ . Differentiate both sides with respect to $x$ using implicit differentiation. Remember to use the product rule for $x^2y$ : $\frac{d}{dx}(x^2) + \frac{d}{dx}(x^2y) = \frac{d}{dx}(12)$ $2x + (2xy + x^2\frac{dy}{dx}) = 0$

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Find the derivative (dy)/(dx) of the curve x^2 + x^2y = 12. The equation of the curve is x^2 + x^2y = 12.

Asked on March 28, 2026Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI AnswerAnswered on March 28, 2026

Step 1: Find the derivative (dy)/(dx) of the curve x^2 + x^2y = 12. The equation of the curve is x^2 + x^2y = 12. Differentiate both sides with respect to x using implicit differentiation. Remember to use the product rule for x^2y: (d)/(dx)(x^2) + (d)/(dx)(x^2y) = (d)/(dx)(12) 2x + (2xy + x^2(dy)/(dx)) = 0 2x + 2xy + x^2dydx