How do you differentiate $f(x)=sqrtsec(e^(x) )$ using the chain rule?

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Answer 1 · 2016-06-28T15:57:59

$= 1/2 e^x sqrt( sec e^x ) * tan e^x$

$(sqrtsec(e^(x) ))^prime$

using the chain rule and doing it bit by bit....

$= 1/2 1/(sqrt (sec e^x )) * ( sec e^x )^prime$

$= 1/2 1/(sqrt (sec e^x )) * sec e^x tan e^x * (e^x)^prime$

$= 1/2 1/(sqrt (sec e^x )) * sec e^x tan e^x * e^x$

$= 1/2 e^x sqrt( sec e^x ) * tan e^x$

How do you differentiate f(x)=sqrtsec(e^(x) ) f(x)=sqrtsec(e^(x) ) using the chain rule?