Used for composite functions (a function within a function)…

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Presentation transcript:

Used for composite functions (a function within a function)… The Chain Rule Used for composite functions (a function within a function)… ex: (outside function) (inside function)

Tack on the derivative of the inside function… Work from outside-in… Tack on the derivative of the inside function… Outside function: ex: Inside function: Tack on inside derivative…

Power Rule combined w/Chain Rule: ex: Outside Function: ( )2 Inside Function: sinx Tack on inside derivative… Power Rule combined w/Chain Rule: OR Tack on inside derivative…

ex: Tack on inside derivative… ex: Tack on inside derivative…

ex: Power / Chain / Quotient

----> Product first, then Chain… ex: ----> Product first, then Chain… Deriv. of the first …plus first …times the 2nd …times derivative of the 2nd ex: Tack on inside derivative… Inside Function Tack on inside derivative…

For exponential functions with base ‘a’ (bases other than e…) IC 3.5 - pg 234 #’s 1-11 all, 16, 17, 19, 22, 31, 35