AP Calculus
The Chain Rule
Find these
derivatives:
Now find these
derivatives:
If y = f(u) and u = g(x) =x2 + 3x, then
y = f(g(x) )
[A composite function]
y’ = f’(u) =
u’ = g’(x) =
so what is
?
The Chain Rule
Inner and Outer
functions
y = f(g(x)) = f(u)
y = (x2 + 3x)3
Example:
Practice
identifying “u”
Original
Inside
Outside