« previous next »

Author Question: How do you find the derivative of log functions of different bases? (Read 1223 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?

Vaccines prevent between 2.5 and 4 million deaths every year.

Did you know?

Vaccines cause herd immunity. If the majority of people in a community have been vaccinated against a disease, an unvaccinated person is less likely to get the disease since others are less likely to become sick from it and spread the disease.

Did you know?

The first documented use of surgical anesthesia in the United States was in Connecticut in 1844.

Did you know?

The most common treatment options for addiction include psychotherapy, support groups, and individual counseling.

Did you know?

Since 1988, the CDC has reported a 99% reduction in bacterial meningitis caused by Haemophilus influenzae, due to the introduction of the vaccine against it.

How to find the quartiles and percentiles for a data set How to find the quartiles and percentiles for a data set
How to find the limits of trigonometry functions How to find the limits of trigonometry functions
How to integrate trigonometric functions containing both tangent and secant (Question 2) How to integrate trigonometric functions containing both tangent and secant (Question 2)
Derivative Help Derivative Help
Stomach functions Stomach functions
Find the curved line Find the curved line
Video: Transmission Across a Synapse

For a complete list of videos, visit our video library