The Chain Rule
if g is differentiable at x and f is differentiable at g(x), then the composite function F = f * g defined by F(x) = f(g(x)) is differenciable at x and F' is given by the product above.
The Chain Rule (Leibniz notation)
Same Chain Rule as above, but written in Leibniz notation. This is true if y = f(u) and u=g(x) are both differentiable functions.
The Chain Rule Combined With the Power Rule
if n is and real number and u = g(x) is differentiable. This also means that