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Differentiation of trigonometric functions and differentiation rules — Question 267

Original QCE Vault practice · 1 mark

Q267 · Practice questionTechnology-freeSimple familiar1 mark

QUESTION 267

For f(x)=ln⁡xxf(x)=\dfrac{\ln x}{x}, where x>0x>0, f′(x)f^{\prime}(x) is
(A)
1+ln⁡xx2\dfrac{1+\ln x}{x^2}
(B)
1x2\dfrac1{x^2}
(C)
1−ln⁡xx2\dfrac{1-\ln x}{x^2}
(D)
ln⁡x−1x\dfrac{\ln x-1}{x}
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