Calculus 45S Slides March 28, 2008

The Chain Rule ...

the weakest link

Practicing the Quotient Rule

Sing it with me baby!

We're back! by fofurasfelinas

Theorem. Let F be the composition of two differentiable functions ƒ and g; F(x) = ƒ(g(x)). Then F is differentiable and

For each of the following functions, identify the inner function g(x) and the outer function ƒ(x).

The Chain Rule

Chain Linkage

Theorem. Let F be the composition of two differentiable functions ƒ and g; F(x) = ƒ(g(x)). Then F is differentiable and

For each of the following functions, identify the inner function g(x) and the outer function ƒ(x).

The Chain Rule

Chain Linkage

Theorem. Let F be the composition of two differentiable functions ƒ and g; F(x) = ƒ(g(x)). Then F is differentiable and

For each of the following functions, identify the inner function g(x) and the outer function ƒ(x).

The Chain Rule

Chain Linkage

Now, let's find the derivative of F(x) in each of these cases.

A little extra practice ...

Visit Visual Calculus for more differentiation fun!