If \(y=e^{ax}\) then \(x\frac{dy}{dx}\) = _____.
Q.1 (C) (ii) If \(y=e^{ax}\) then \(x\frac{dy}{dx}\) = _____.
Q.1 (C) (ii) If \(y=e^{ax}\) then \(x\frac{dy}{dx}\) = _____.
Best answer
Answer: \(axy\)
\(\frac{dy}{dx}=ae^{ax}=ay\). Hence \(x\frac{dy}{dx}=axe^{ax}=axy\).
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