Utilizando a regra da cadeia, calcule as seguintes derivadas:
(a) d/dx [(x^2 + 4)^6]
(b) d/dx ((1 + cos^2(x))^47)
© d/dx (sen(x^2) + sen^2(x))
(d) (raiz(x + raiz(x)))'
(e) d/dt ((t - 1/t)^(3/2))
(f) d/dx ((2x + 1)^x)
(g) (2 x + 1)^x [ln(2 x + 1) + 1/(2 x + 1)]
(h) d/dt[sen(t)]
(i) ((1 + cos^2(x))^sen(x))'
(j) (raiz(x^2 + e^(raiz(x))))'
(k) [sec(raiz(x^2 + 1))]'
(l) (ln(ln(x)))'
(m) (sen(x - sen(x)))'.

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