Sec 3.4: The Chain Rule Composite function Chain Rule:

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Presentation transcript:

Sec 3.4: The Chain Rule Composite function Chain Rule:

Sec 3.4: The Chain Rule Chain Rule:

Sec 3.4: The Chain Rule Chain Rule: Example:

Sec 3.4: The Chain Rule Chain Rule: Example: Example:

Outer function is power Outer function is exponential Sec 3.4: The Chain Rule Chain Rule: Special Case: Outer function is power Outer function is exponential Outer funcion square root

Sec 3.4: The Chain Rule Example: Chain THE POWER RULE COMBINED WITH THE CHAIN RULE: Outer function is power Example:

Sec 3.4: The Chain Rule Example: Example: Example: Exponential COMBINED WITH THE CHAIN RULE: Outer function is exponential Example: Example: Example:

Sec 3.4: The Chain Rule Example: Example: Exponential COMBINED WITH THE CHAIN RULE: Example: Example:

Sec 3.4: The Chain Rule

Sec 3.4: The Chain Rule Example: Example: Square root COMBINED WITH THE CHAIN RULE: Example: Example:

Repeated Use of the Chain Rule Sec 3.4: The Chain Rule Repeated Use of the Chain Rule Chain Rule: Example:

Sec 3.4: The Chain Rule

Sec 3.4: The Chain Rule

Sec 3.4: The Chain Rule

Sec 3.4: The Chain Rule