Calculus Section 2.4 The Chain Rule. Used for finding the derivative of composite functions Think dimensional analysis Ex. Change 17hours to seconds.

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Presentation transcript:

Calculus Section 2.4 The Chain Rule

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

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

The Chain Rule

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

The Process

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.

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

Example 1 KEEP DERIVATIVE ONE LESS POWER

Example 2

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