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Question

The differential coefficient of f(logex) with respect to x, where f(x)=logex is

A
xlogex
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B
1xlogex
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C
1xlogex
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D
none of these
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Solution

The correct option is D 1xlogex
We have to find derivative of f(logex) w.r. to x
We have f(x)=logex
Therefore,
df(logex)dx=ddx[loge(logex)]
=1logex×ddx(logex)
=1x.logex

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