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If `y=(1)/(log_(10)x)`, then what is `(dy)/(dx)` equal to?A. xB. `x log_(e)10`C. `-((log_(x)10)^(2)(log_(10)e))/(x)`D. `xlog_(10)e` |
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Answer» Correct Answer - C Differentiating the given function, `y=(1)/(log_(10)x)` We get, `(dy)/(dx)=-(1)/((log_(10)x)^(2)).(1)/(x)log_(10)e` `rArr(dy)/(dx)=-((log_(x)10)^(2).log_(10)e)/(x)` |
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