1. Calculus Section 2.4 The Chain Rule

2. Used for finding the derivative of composite functions Think dimensional analysis Ex. Change 17hours to seconds

3. The derivative of y with respect to x With Respect to… The derivative of y with respect to u The derivative of u with respect to x

4. The Chain Rule

5. The derivative of the outside function times the derivative of the inside function.

6. The Process

7. The General Power Rule A special case of The Chain Rule for finding the derivative of a composite function where the inside function is raised to a power.

8. The General Power Rule Power out in front. Keep what’s inside to one less power. Multiply by the derivative of what’s inside.

9. Example 1 KEEP DERIVATIVE ONE LESS POWER

10. Example 2

11. Simplify, Derive, Simplify Simplify to: A CONSTANT TIMES AN EXPRESSION TO A POWER