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Choose the correct option.
The derivative of xy = c² with respect to x is: (Understanding)
The derivative of $xy = c^2$ with respect to $x$ is: (Understanding)
- (a)$\frac{dy}{dx} = \frac{2c - y}{x}$
- (b)$\frac{dy}{dx} = \frac{c^2}{x^2}$
- (c)$\frac{dy}{dx} = -\frac{y}{x}$
- (d)$\frac{dy}{dx} = \frac{y}{x}$
Answer
Answer
Official answer keyCorrect option: (c)
Answer: (c) $\frac{dy}{dx} = -\frac{y}{x}$
Differentiating $xy = c^2$: $x\frac{dy}{dx} + y = 0$, so $\frac{dy}{dx} = -\frac{y}{x}$.