Wherever f(x) = ln(cos x) is defined as a real function, f ''(x) = -sec^2 x .?

0 ⤊

True or False

2006-10-22 03:51:36 · 2 answers · asked by Olivia 4 in Science & Mathematics ➔ Mathematics

f ''(x) = -sec^2 x

-sec^2 x is by itself

2006-10-22 04:05:55 · update #1

f ''(x) = -sec^2 x

-sec^2 x is by it self

2006-10-22 04:06:04 · update #2

true
f'(x)=(1/cosx)*(-sinx)=-tanx
f"(x)=-sec^2x

2006-10-22 03:54:44 · answer #1 · answered by raj 7 · 0⤊ 1⤋

sure...
you just need to check that the domains of f, f', f'' coincide, that it, this is going to be true only for the intersection of these domains

2006-10-23 02:31:39 · answer #2 · answered by Anonymous · 0⤊ 0⤋