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QUESTION

What is the derivative of ##y=ln(sec(x)+tan(x))##?

Answer: ##y'=sec(x)##

Full explanation:

Suppose, ##y=ln(f(x))##

Using , ##y'=1/f(x)*f'(x)##

Similarly, if we follow for the problem, then

##y'=1/(sec(x)+tan(x))*(sec(x)+tan(x))'##

##y'=1/(sec(x)+tan(x))*(sec(x)tan(x)+sec^2(x)) ##

##y'=1/(sec(x)+tan(x))*sec(x)(sec(x)+tan(x))##

##y'=sec(x)##

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