fxlnxsecx fxSolutionfx lnxsecx take log on both sides lnfx

f(x)=(ln(x))^(sec(x))

f\'(x)=???

f(x) = lnx^secx

take log on both sides

lnf(x) = secx *ln(lnx)

diff on both sides

f\'(x)/f(x) = secxtanx*lnlnx + secx/xlnx

f\'(x) = lnx^secx(secxtanx*lnlnx + secx/xlnx)

$f(x)=(ln(x))^(sec(x)) f\'(x)=???Solutionf(x) = lnxsecx take log on both sides lnf(x) = secx *ln(lnx) diff on both sides f\'(x)/f(x) = secxtanx*lnlnx + secx/xlnx$

fxlnxsecx fxSolutionfx lnxsecx take log on both sides lnfx

Solution

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