A community for students.
Here's the question you clicked on:
 0 viewing
Benja123456789
 3 years ago
I am confused re: the chapter "derivative of an inverse function". How can the derivative of f^1(x) be 1/the derivative of f(x)? Just looking at an example: the derivative of e^x is e^x... but the derivative of ln(x) sure as hell isn't 1/e^x.
Benja123456789
 3 years ago
I am confused re: the chapter "derivative of an inverse function". How can the derivative of f^1(x) be 1/the derivative of f(x)? Just looking at an example: the derivative of e^x is e^x... but the derivative of ln(x) sure as hell isn't 1/e^x.

This Question is Open

nickfrei
 3 years ago
Best ResponseYou've already chosen the best response.1the derivative of f^1(x) is 1/the derivative of the inverse function, d{f 1(x)}/dx = 1 f '(f 1(x))

nickfrei
 3 years ago
Best ResponseYou've already chosen the best response.1sorry i was wrong the derivative f^1(x) is 1/the derivative of the function evaluated at the inverse. So in your case it's 1/(e^ln(x)).
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.