« previous next »

Author Question: Taking the ratio of a derivative of one function over another functions? (Read 1186 times)

j_sun

  • Sr. Member
  • ****
  • Posts: 384
on: Jun 19, 2013
Why would a mathematician take a derivative of one function, put it over the derivative of another function, and take the ratio of the two?  Thanks.


Melanie

  • Full Member
  • ***
  • Posts: 204
Reply #1 on: Jun 19, 2013
That is the technique used to determine the limit of a rational function when the function is indeterminate at the limit. Query L'Hopital's Rule.


Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question

coco

  • Hero Member
  • *****
  • Posts: 739
Reply #2 on: Jun 19, 2013
convergence of derivatives: comparison test, ratio test
series expansion, like Taylor series. for f'(x)/g'(x)
numerical computations of functions, f(x), f'(x), ...f^n(x) represented as partial sums


« previous next »
 

Did you know?

The average adult has about 21 square feet of skin.

Did you know?

Drying your hands with a paper towel will reduce the bacterial count on your hands by 45–60%.

Did you know?

Hip fractures are the most serious consequences of osteoporosis. The incidence of hip fractures increases with each decade among patients in their 60s to patients in their 90s for both women and men of all populations. Men and women older than 80 years of age show the highest incidence of hip fractures.

Did you know?

Throughout history, plants containing cardiac steroids have been used as heart drugs and as poisons (e.g., in arrows used in combat), emetics, and diuretics.

Did you know?

Cutaneous mucormycosis is a rare fungal infection that has been fatal in at least 29% of cases, and in as many as 83% of cases, depending on the patient's health prior to infection. It has occurred often after natural disasters such as tornados, and early treatment is essential.

Membrane Synthesis, lipid Bilayers, Enzymes function Membrane Synthesis, lipid Bilayers, Enzymes function
How to integrate trigonometric functions containing both tangent and secant (Question 2) How to integrate trigonometric functions containing both tangent and secant (Question 2)
Functions of the Stomach Functions of the Stomach
Periodic Function Modelled Periodic Function Modelled
Derivative of a function Derivative of a function
Derivative using delta method Derivative using delta method
Video: Major Elements in Biological Molecules: Lipids

For a complete list of videos, visit our video library