« previous next »

Author Question: How do you find the derivative of log functions of different bases? (Read 1284 times)

j_sun

  • Sr. Member
  • ****
  • Posts: 384
on: Jun 19, 2013
For example, what is the derivative of y = log@5(log@2x), where @ = "base"? Please show the steps.. I don't need an answer.


federox

  • Sr. Member
  • ****
  • Posts: 308
Reply #1 on: Jun 19, 2013
I will demonstrate how to get the derivative of a logarithm in a base other than e, and you can do the rest.

y = log7(x) is the same as 7^y = x.

take the natural log of both sides and get: y * ln(7) = ln(x)

solve for y: y = ln(x)/ln(7)

dy/dx = 1/(x * ln(7))

use the chain rule to solve your function.


Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question
« previous next »
 

Did you know?

It is widely believed that giving a daily oral dose of aspirin to heart attack patients improves their chances of survival because the aspirin blocks the formation of new blood clots.

Did you know?

Once thought to have neurofibromatosis, Joseph Merrick (also known as "the elephant man") is now, in retrospect, thought by clinical experts to have had Proteus syndrome. This endocrine disease causes continued and abnormal growth of the bones, muscles, skin, and so on and can become completely debilitating with severe deformities occurring anywhere on the body.

Did you know?

Adolescents often feel clumsy during puberty because during this time of development, their hands and feet grow faster than their arms and legs do. The body is therefore out of proportion. One out of five adolescents actually experiences growing pains during this period.

Did you know?

Asthma is the most common chronic childhood disease in the world. Most children who develop asthma have symptoms before they are 5 years old.

Did you know?

The horizontal fraction bar was introduced by the Arabs.

Basic graphs of functions Basic graphs of functions
Chéri Samba, Problème d'eau. Où trouver l'eau? (The Water Problem. Where to Find ... Chéri Samba, Problème d'eau. Où trouver l'eau? (The Water Problem. Where to Find ...
How to find the derivative of a function when the base and exponent contain a variable x^x How to find the derivative of a function when the base and exponent contain a variable x^x
Functions Functions
Second Derivative Second Derivative
How to find derivative using delta method of y=100x-13? please notice me! How to find derivative using delta method of y=100x-13? please notice me!
Video: What are Strong & Weak Acids and How they're different?

For a complete list of videos, visit our video library