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#                          FÍSICA COMPUTACIONAL II                           #
#                                   por                                      #
#                         Francisco  Carlos  Lavarda                         #
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                        LISTA DE EXERCÍCIOS DE DERIVADA

Para cada uma das funções abaixo, calcule pelo menos as 3 primeiras
derivadas. A resposta é referente à primeira derivada.

[1] f(t)=t^5+((t+1)/t^2)

    resposta: 5*t^4-(2*(t+1))/t^3+1/t^2


[2] f(x)=ln(x)*sen(x)

    resposta: sen(x)/x+cos(x)*ln(x) 


[3] s(x)=2*x+1/(2*x)

    resposta: 2-1/(2*x^2) 


[4] f(x)=ln(sen(x))

    resposta: cos(x)/sen(x) 


[5] p(x)=1+1/x+1/x^2+1/x^3

    resposta: -1/x^2-2/x^3-3/x^4 


[6] f(x)=e^(3*x^2)+x-5

    resposta: 6*x*e^(3*x^2)+1 


[7] f(x)=(e^x+e^(-x))/2

    resposta: (e^x-e^(-x))/2 


[8] f(x)=sec(x)^2

    resposta: 2*sec(x)^2*tan(x) 


[9] f(x)=x^3*3^x

    resposta: ln(3)*x^3*3^x+3*x^2*3^x


[10] f(x)=sen(2*x)^3

     resposta: 6*cos(2*x)*sen(2*x)^2