calculus
posted by Anonymous on .
f*(x) = lim as h > 0 [f(x+h)f(xh)]/ h
write an equation that expresses the relationship between the functions f*(x) and f`
I know that f` is [f(x+h)f(x)]/h but i have no clue how to write an equation to relate the two!!!

f(x+h)f(xh) =
f(x+h)  f(x) + f(x)  f(xh)
lim as h > 0 [f(x+h)f(xh)]/ h =
lim as h > 0 [f(x+h)f(x)]/ h +
lim as h > 0 [f(x)f(xh)]/ h
lim as h > 0 [f(x)f(xh)]/ h
also equals the derivative of f if the functon is differentiable.