Iera K.

# show the derivatives of the quotient

The de?finitions of derivative of two functions f and g are given by:
f' (x) = lim     f(x + Δx) - f (x) / Δx , g'(x) = lim   g(x + Δx) - g(x) / Δx
           x->0                                             x->0

Show that the derivative of the quotient (fg) (x) is:
(fg)'(x) = f'(x) g (x) + g' (x) f (x)