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Calculating the Inverse Rule (Posted on 2021-11-26) Difficulty: 2 of 5
Derivative David wants to find the rule for the derivative of f-1(x), the inverse of f(x). He knows the following derivative rules.

1. The Sum Rule: the derivative of (f+g)(x)=f(x)+g(x)
(f+g)'(x)=f'(x)+g'(x)

2. The Product Rule: the derivative of fg(x)=f(x)g(x)
(fg)'(x)=f'(x)g(x)+f(x)g'(x)

3. The Chain Rule: the derivative of (f*g)(x)=f(g(x))
(f*g)'(x)=f'(g(x))g'(x)

How can David find the Inverse Rule? What is the derivative of f-1(x)?

No Solution Yet Submitted by Math Man    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsAn Honest AttemptK Sengupta2021-11-26 21:27:46
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