Finding derivative using table of values

  • Thread starter Thread starter nfcfox
  • Start date Start date
  • Tags Tags
    Derivative Table
Click For Summary
The discussion revolves around finding the derivative of the function H(x), which is expressed as G(x) + G'(x)x. The participant is unsure about calculating G'(x) and suggests that it might be related to the inverse of f'(x). After attempting the calculations, they arrive at a value of 16, which does not match the expected answer. A recommendation is made to consult an article on inverse functions and differentiation for further clarification. The conversation highlights the challenges in applying derivative concepts using tables of values.
nfcfox
Messages
36
Reaction score
0

Homework Statement


http://imgur.com/MSkNkno

Homework Equations

The Attempt at a Solution


I know that I would have to take the derivative of H(x) which is G(x)+G'(x)x so then I would need G'(x) which I figured would be f'^-1(x) but I'm not sure about that. Doing that I got a value of 16 which isn't an answer.
 
Physics news on Phys.org

Thread 'Distance between a Clock's hands when the distance is increasing most rapidly'

Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?
View full post »

Similar threads

Trying To Use Squeeze Theorem To Prove Derivatives Are Equal
  • · Replies 4 ·
Replies
4
Views
2K
Derivatives and the chain rule
  • · Replies 5 ·
Replies
5
Views
2K
Linear first-order differential equation with an initial condition
  • · Replies 5 ·
Replies
5
Views
2K
Lagrange multipliers understanding
  • · Replies 8 ·
Replies
8
Views
2K
Why Is the Chain Rule Not Used in Differentiating h(x) = 3f(x) + 8g(x)?
  • · Replies 2 ·
Replies
2
Views
2K
Using Tables to Determine Limits
  • · Replies 2 ·
Replies
2
Views
1K
Assume that if the real-valued function h(x) is Lipschitz continuous...
  • · Replies 22 ·
Replies
22
Views
2K
Instantaneous rate of change and deriving a fraction
  • · Replies 23 ·
Replies
23
Views
3K
Derivative of a sinusoidal function
  • · Replies 2 ·
Replies
2
Views
2K
Proving stability of linear system equations
  • · Replies 2 ·
Replies
2
Views
1K