Download presentation

Published byMia Foley Modified over 4 years ago

1
2.4 The Chain Rule If f and g are both differentiable and F is the composite function defined by F(x)=f(g(x)), then F is differentiable and F′ is given by the product In Leibniz notation, if y=f(u) and u=g(x) are both differentiable functions, then

2
Example: A faster way to write the solution: Differentiate the outer function... …then the inner function

3
Another example: It looks like we need to use the chain rule again! derivative of the outer function derivative of the inner function

4
Another example: The chain rule can be used more than once. (That’s what makes the “chain” in the “chain rule”!)

5
**The Power Rule combined with the Chain Rule**

If n is any real number and u=g(x) is differentiable, then Alternatively, Example:

Similar presentations

OK

Www.apcalculusbc.com. We now have a pretty good list of “shortcuts” to find derivatives of simple functions. Of course, many of the functions that we.

Www.apcalculusbc.com. We now have a pretty good list of “shortcuts” to find derivatives of simple functions. Of course, many of the functions that we.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on essay writing skills Ppt on coordinate geometry for class 9 download Download ppt on indus valley civilization for kids Ppt on javascript events Ppt on question tags esl Ppt on producers consumers and decomposers in the amazon Ppt on textile industry in india Ppt on modern indian architecture Ppt on group development in education Ppt on non material heritage of india