Derive as seguintes funções: a) f(x) = x+3/x−1 + x+2/x+1 b) f(x) = x^2 senx / e^x c) f(x) = a^(x^2+5x+1) (a ∈ R+) d) f(x) = x + 3tg(4x)

Re: a) f'(x) = -(5x^2+6x+5)/(x^2-1)^2

b) f'(x) = x(2*senx+x*cosx-x*senx)/e^x

c) f'(x) = (2x+5)*a^(x^2+5x+1)*lna

d) f'(x) = 1+12*sec^2(4x)