Question:medium
If $(3 + 5x)e^{\frac{y}{x}} = x$, then $\dfrac{dy}{dx}$ is equal to:
If $(3 + 5x)e^{\frac{y}{x}} = x$, then $\dfrac{dy}{dx}$ is equal to:
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Use logarithms when variable appears in exponent.
Updated On: Apr 24, 2026
- $\log\left|\frac{x}{3+5x}\right| + \frac{3}{3+5x}$
- $\log\left|\frac{x}{3+5x}\right| + \frac{5x-3}{3+5x}$
- $\log\left|\frac{x}{3+5x}\right| + \frac{5x-2}{3+5x}$
- $\log\left|\frac{3x}{3+5x}\right| + \frac{10x+3}{3+5x}$
- $\log\left|\frac{x}{3+5x}\right| + \frac{3-10x}{3+5x}$
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The Correct Option is A
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