Chapter 6.3, Problem 2SWU

### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

Chapter
Section

### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# In Exercises 1-6, find the indicated derivative. f ( x ) = ln ( 2 x + 1 ) ,   f ( 4 ) ( x )

To determine

To calculate: The fourth derivative f4(x) for the function f(x)=ln(2x+1).

Explanation

Given Information:

The function is:

f(x)=ln(2x+1)

Formula used:

The derivative of the polynomial xn is as:

Power rule:

dxndx=nxn1

The derivative of a logarithmic function lnx is:

dlnxdx=1x

Calculation:

Consider the provided function:

f(x)=ln(2x+1)

Now use the formula of the derivative of a logarithmic function lnx is:

dlnxdx=1x

Differentiate the above function with respect to x,

f(x)=1ln(2x+1)×2=2ln(2x+1)

Again, differentiate with respect to x,

f(x)=2(2x+1)2×(1)(2)=4(2x+1)2

Again, differentiate with respect to x

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8935796022415161, "perplexity": 7575.680634778303}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-51/segments/1575540531917.10/warc/CC-MAIN-20191211131640-20191211155640-00212.warc.gz"}