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Differentiate the following w.r.t. x: log (log x), x > 1 - Mathematics

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प्रश्न

Differentiate the following w.r.t. x:

log (log x), x > 1

योग

उत्तर

Let, y = log (log x), x >1

Differentiating both sides with respect to x,

`dy/dx = d/dx log (log x)`

`= 1/(log x) d/dx log x`

`= 1/(log x) * 1/x`

`= 1/(x log x), x > 1`

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Continuity and Differentiability - Exercise 5.4 [पृष्ठ १७४]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 12
अध्याय 5 Continuity and Differentiability
Exercise 5.4 | Q 8 | पृष्ठ १७४

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