Find when .

Answer and explanation

Correct answer: C.

  1. Step 1: Quotient rule with , : , .
  2. Step 2: .
  3. Step 3: Simplify: .
Answer
(1 - log_e x)/x^2.
Why not the others: The first has the numerator in the wrong order; the second adds instead of subtracts; the last drops the logarithm term.

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Find dy/dx when y = ( log e(x))/x. | Victorian VCE