Derivatives of inverse functions - StartLogic
Derivatives of inverse functions!
The graph of [pic] contains [pic] if and only if
[pic] contains [pic] there is a nice picture on p157 in your book.
If [pic] is differentiable and [pic] is its inverse ([pic]) then:
[pic]
Example:
[pic] find [pic]
First find: [pic][pic] using either your calculator or synthetic division. [pic]
Second, find [pic]
[pic]
[pic] so [pic]
Try: [pic] find [pic] if [pic]
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