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{{Periksa terjemahan|en|Derivative}}Dalam [[matematika]], '''turunan''' [[fungsi variabel real]] mengukur senstivitas perubahan nilai fungsi terhadap [[Argumen fungsi|nilai masukan]]. Turunan merupakan alat dasar dalam [[kalkulus]]. Contoh, turunan dari posisi benda bergerak terhadap [[waktu]] sama dengan [[kecepatan]] benda: turunan mengukur seberapa cepat posisi benda bergerak ketika waktu berjalan.
Proses dalam mencari turunan disebut '''pendiferensialan''' atau '''diferensiasi''', sedangkan proses kebalikannya disebut ''antidiferensiasi''. Teorema dasar kalkulus mengaitkan antidiferensiasi dengan pengintegralan. Pendiferensialan dan pengintegralan merupakan dua operasi dasar dalam kalkulus variabel tunggal.{{Refn|Differential calculus, as discussed in this article, is a very well established mathematical discipline for which there are many sources. See Apostol 1967, Apostol 1969, and Spivak 1994.|group=catatan}}
== Rujukan ==
== Daftar pustaka ==
=== Cetakan ===
{{Refbegin}}
*{{Citation|last1=Anton|first1=Howard|last2=Bivens|first2=Irl|last3=Davis|first3=Stephen|date=February 2, 2005|title=Calculus: Early Transcendentals Single and Multivariable|place=New York|publisher=Wiley|edition=8th|isbn=978-0-471-47244-5}}
*{{Citation|last=Apostol|first=Tom M.|author-link=Tom M. Apostol|date=June 1967|title=Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra|publisher=Wiley|edition=2nd|volume=1|isbn=978-0-471-00005-1|url-access=registration|url=https://archive.org/details/calculus01apos}}
*{{Citation|last=Apostol|first=Tom M.|date=June 1969|title=Calculus, Vol. 2: Multi-Variable Calculus and Linear Algebra with Applications|publisher=Wiley|edition=2nd|volume=1|isbn=978-0-471-00007-5|url-access=registration|url=https://archive.org/details/calculus01apos}}
*{{Citation|last1=Courant|first1=Richard|last2=John|first2=Fritz|date=December 22, 1998|title=Introduction to Calculus and Analysis, Vol. 1|publisher=Springer-Verlag|isbn=978-3-540-65058-4}}
*{{Citation|last=Eves|first=Howard|date=January 2, 1990|title=An Introduction to the History of Mathematics|edition=6th|publisher=Brooks Cole|isbn=978-0-03-029558-4}}
*{{Citation|last1=Larson|first1=Ron|last2=Hostetler|first2=Robert P.|last3=Edwards|first3=Bruce H.|date=February 28, 2006|title=Calculus: Early Transcendental Functions|edition=4th|publisher=Houghton Mifflin Company|isbn=978-0-618-60624-5}}
*{{Citation|last=Spivak|first=Michael|author-link=Michael Spivak|date=September 1994|title=Calculus|publisher=Publish or Perish|edition=3rd|isbn=978-0-914098-89-8}}
*{{Citation|last=Stewart|first=James|date=December 24, 2002|title=Calculus|publisher=Brooks Cole|edition=5th|isbn=978-0-534-39339-7|url-access=registration|url=https://archive.org/details/calculus0000stew}}
*{{Citation|last=Thompson|first=Silvanus P.|author-link=Silvanus P. Thompson|date=September 8, 1998|title=[[Calculus Made Easy]]|edition=Revised, Updated, Expanded|place=New York|publisher=St. Martin's Press|isbn=978-0-312-18548-0}}
{{Refend}}
=== Buku daring ===
{{Library resources box|by=no|onlinebooks=no|others=no|about=yes|label=Derivative}}{{Refbegin}}
*{{Citation|last=Crowell|first=Benjamin|title=Fundamentals of Calculus|year=2017|url=http://www.lightandmatter.com/fund/}}
*{{Citation|last=(Govt. of TN)|first=TamilNadu Textbook Corporation|title=Mathematics- vol.2|year=2006|url=http://www.textbooksonline.tn.nic.in/Books/11/Std11-Maths-EM-2.pdf|access-date=2014-11-29|archive-url=https://web.archive.org/web/20160115180615/http://www.textbooksonline.tn.nic.in/Books/11/Std11-Maths-EM-2.pdf|archive-date=2016-01-15|url-status=dead}}
*{{Citation|last=Garrett|first=Paul|year=2004|title=Notes on First-Year Calculus|url=http://www.math.umn.edu/~garrett/calculus/|publisher=[[University of Minnesota]]}}
*{{Citation|last=Hussain|first=Faraz|year=2006|title=Understanding Calculus|url=http://www.understandingcalculus.com/}}
*{{Citation|last=Keisler|first=H. Jerome|year=2000|title=Elementary Calculus: An Approach Using Infinitesimals|url=http://www.math.wisc.edu/~keisler/calc.html}}
*{{Citation|last=Mauch|first=Sean|year=2004|title=Unabridged Version of Sean's Applied Math Book|url=http://www.its.caltech.edu/~sean/book/unabridged.html|url-status=dead|archive-url=https://web.archive.org/web/20060415161115/http://www.its.caltech.edu/~sean/book/unabridged.html|archive-date=2006-04-15}}
*{{Citation|last=Sloughter|first=Dan|year=2000|title=Difference Equations to Differential Equations|url=http://synechism.org/drupal/de2de/}}
*{{Citation|last=Strang|first=Gilbert|year=1991|title=Calculus|url=http://ocw.mit.edu/ans7870/resources/Strang/strangtext.htm}}
*{{Citation|last=[[Keith Stroyan|Stroyan]]|first=Keith D.|year=1997|title=A Brief Introduction to Infinitesimal Calculus|url=http://homepage.math.uiowa.edu/~stroyan/Site/Infinitesimals.html}}
*{{Citation|last=Wikibooks|title=Calculus|url=http://en.wikibooks.org/wiki/Calculus}}
{{Refend}}
== Pranala luar ==
{{Sister project links|Differentiation|auto=1|wikt=y|b=y|v=y}}
*{{springer|title=Derivative|id=p/d031260}}
*[[Khan Academy]]: [https://www.khanacademy.org/math/differential-calculus/taking-derivatives/intro_differential_calc/v/newton-leibniz-and-usain-bolt "Newton, Leibniz, and Usain Bolt"]
*{{MathWorld|title=Derivative|id=Derivative}}
* [http://www.wolframalpha.com/calculators/derivative-calculator/ Online Derivative Calculator] from [[Wolfram Alpha]].
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