Calculus 45S Slides March 28, 2008
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Transcript of 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!