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Chain Rule - By Aoileann Nic Aogain

How to use this applet:

This is how the CHAIN RULE APPLET works:
* first you will be asked which type of problem you would like to differentiate,
* next you will be asked to enter the numbers needed,
- when asked for the coefficient of X, you need to enter the number that is written before X,
- when asked for the power of X, you need to enter the small number which is written after X ,
- when asked for the power to which the whole problem is found, enter the small number after the brackets.
* and finally the program will solve the problem step by step.

Notes on the maths used in the applet:

The chain rule states that if
y = fg(x), let u = g(x),
then dy/dx = dy/du X du/dx

5 EASY steps of the CHAIN RULE :-
1. First you let the part between brackets be something to differentiate, say U.
2. Then you must rewrite the question in terms of U(instead of X).
3. Differentiate U, getting du/dx.
4. Differentiate the "rewritten" question, getting dy/du.
5. Finally, multiply 2 by 4.