f(x) = sin(x/4.0)*(x+5)*(x-6)

df(x) = 0.25*sin(0.25*x)*(x+5)*(x-6)+ sin(x/4.0)*(x-6)+ sin(x/4.0)*(x+5)

plot f(x), df(x), 0

pause -2

a = -7

P(x) = f(a) + df(a)*(x-a)

plot f(x), P(x),0

a = a - f(a)/df(a)

pause -2

P(x) = f(a) + df(a)*(x-a)

plot f(x), P(x),0

a = a - f(a)/df(a)

pause -2


P(x) = f(a) + df(a)*(x-a)

plot f(x), P(x),0

a = a - f(a)/df(a)

pause -2


P(x) = f(a) + df(a)*(x-a)

plot f(x), P(x),0

a = a - f(a)/df(a)

pause -2