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TS EAMCET · Maths · Differentiation

If \(y=e^x(\log x)\), then \(x y_2+(x-1) y=\)

  1. A \((2 x-1) y_1\)
  2. B \((x-1) y_1\)
  3. C \((4-2 x) y_1\)
  4. D \((3 x-1) y_1\)
Verified Solution

Answer & Solution

Correct Answer

(A) \((2 x-1) y_1\)

Step-by-step Solution

Detailed explanation

Given, \(y=e^x(\log x)\) \[ \frac{d y}{d x}=\frac{e^x}{x}+e^x \ln x \]…
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