# Thread: How To Find The Derivative Of These...?

1. ## How To Find The Derivative Of These...?

We learnt something called the "chain rule" last class.

I'm doing my best to understand it...

These are the hardest questions, and I don't know how to start or finish..

Can anybody show me how to find the derivatives of these:

1) (sqrt(5x))/(2x^2-3)

2) f(x) = sqrt(2x(sqrt(x+3)) (Square root of the square root)

Thanks!

Chain rule whit an example
http://www.mathhelpforum.com/math-he...tml#post215062

Then

$
f(x) = \sqrt {2x\sqrt {x + 3} } \Rightarrow f'(x) = \frac{1}
{{2\sqrt {2x\sqrt {x + 3} } }} \cdot \left( {2x\sqrt {x + 3} } \right)^\prime
$

Now use the product rule

P.D: I dont know why the link has name...
{"found_math": true, "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": 1, "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, "url": "http://mathhelpforum.com/calculus/59240-how-find-derivative-these.html", "fetch_time": 1481108670000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2016-50/segments/1480698542060.60/warc/CC-MAIN-20161202170902-00120-ip-10-31-129-80.ec2.internal.warc.gz", "warc_record_offset": 177992524, "warc_record_length": 9581, "token_count": 231, "char_count": 724, "score": 3.75, "int_score": 4, "crawl": "CC-MAIN-2016-50", "snapshot_type": "longest", "language": "en", "language_score": 0.7698326706886292, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00016-of-00064.parquet"}