« previous next »

Author Question: How do you find the derivative of log functions of different bases? (Read 1585 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?

Stroke kills people from all ethnic backgrounds, but the people at highest risk for fatal strokes are: black men, black women, Asian men, white men, and white women.

Did you know?

When taking monoamine oxidase inhibitors, people should avoid a variety of foods, which include alcoholic beverages, bean curd, broad (fava) bean pods, cheese, fish, ginseng, protein extracts, meat, sauerkraut, shrimp paste, soups, and yeast.

Did you know?

For pediatric patients, intravenous fluids are the most commonly cited products involved in medication errors that are reported to the USP.

Did you know?

The average adult has about 21 square feet of skin.

Did you know?

The U.S. Preventive Services Task Force recommends that all women age 65 years of age or older should be screened with bone densitometry.

How to find the quartiles and percentiles for a data set How to find the quartiles and percentiles for a data set
How to use the quotient rule to find the derivative of a function How to use the quotient rule to find the derivative of a function
How to use the squeeze theorem to find the limit of a function How to use the squeeze theorem to find the limit of a function
A sampling of the modified and unusual bases found in tRNAs A sampling of the modified and unusual bases found in tRNAs
Determine if each function is continuous, If the function is not continuous, find the x-axis Determine if each function is continuous, If the function is not continuous, find the x-axis
Derive the following using the increment/delta method and find its slope Derive the following using the increment/delta method and find its slope
Video: Random alignment at Metaphase I Animation

For a complete list of videos, visit our video library