The differential coefficient of `f(log_e x) w.r.t. x,` where `f(x) = log_e x,` is (i) `x/lnx` (ii) `lnx/x` (iii) `1/(xlnx)` (iv) `xlnx`
A. `(x)/(log_(e)x)`
B. `(1)/(x)log_(e)x`
C. `(1)/(xlog_(e)x)`
D. none of these

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1 Answers

`f(log_(e)x)=log_(e)(log_(e)x)`
`therefore" "(df(log_(e)x))/(dx)=(1)/(log_(e)x)xx(1)/(x)`

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