Let f(x) = 1 + x2 for x E (-0,00) and let g(x)=tan(a) for x E (-1/2, T/2). Which of the following statement is truc? for a E

Question

Let f(x) = 1 + x2 for x E (-0,00) and let g(x)=tan(a) for x E (-1/2, T/2). Which of
the following statement is truc?
for a E (-1/2, 1/2).
d
(b)(f(x) + g(x)) = 2x + scc(e) for x € (-7/2, 7/2).
(a)
e
2x tan(x)
d g(x)
da f(x)(1+x2)2
=
d
(c) (f(r)g(x)) = scc²(x)(1+z²) + 2x tan(x) for x = (-1/2, 1/2).
dr
d
(d)
f(g(x)) = 2g(x) for r € (-1/2, 1/2).
dr
(e) None of the above statements is truc.

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