A few more...:(?

Question

a) f(x) = (sec(x)(tan(x) +sec(x))) / (sec(x) + tan(x))

b) g(x) = [(x^2+1)/(x^2-1)]^(1/4)

what are the derivatives on these? any help would be great!

Answer 1

a)

f = (sec(x)(tan(x) +sec(x))) / (sec(x) + tan(x))
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We know that derivative of function
f = u/v
is
f' = (v u' - u v') / v^2
---------------------
Now we apply this formula to our case. We see that
u = sec(x)(tan(x) +sec(x))
v = sec(x) + tan(x)
and following derivatives should be calculated:
u' =
v' =
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Try to do it and write it down here.
If problem, write the problem here.
See you.