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## Calculus I

by: Claudie Wintheiser

23

0

2

# Calculus I MATH 131

Claudie Wintheiser

GPA 3.77

Arthur Yanushka

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COURSE
PROF.
Arthur Yanushka
TYPE
Class Notes
PAGES
2
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 2 page Class Notes was uploaded by Claudie Wintheiser on Monday October 5, 2015. The Class Notes belongs to MATH 131 at Christian Brothers University taught by Arthur Yanushka in Fall. Since its upload, it has received 23 views. For similar materials see /class/219434/math-131-christian-brothers-university in Mathematics (M) at Christian Brothers University.

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Date Created: 10/05/15
Math 131 Basic Rules for Antiderivatives or Indefinite Integrals The variable for antidifferentiation is X C is an arbitrary constant 0 The antiderivative of one is X C I dX X C 1 Power rules The antiderivative of Xp is Xp p 1 C for a constant p 1 The antiderivative of X391 is ln X C IXPdX Xpp 1 Cforaconstantp 1 IX39ldXlnXC 2Sumrule ffXgXdXffXdXfgXdX 3 Difference rule ffX gX dX ffX dX fg X dX 4 Constant rule fb f X dX b If X dX for a constant b 5erule fede ex C 6 Trig rules fsin X dX cos X C fcosXdXsinX C fdXcosXZ tanX C 7 Inverse trig rules de 1 X2 12 arcsin X C de 1 X2 arctanX C Math 131 Basic Rules for Derivatives Assume that the variable for differentiation is X f X d f X dx O The derivative of a constant is zero 1 Constant times function rule cfX cf Xforaconstantc 2Sumrule fXgX f Xg X 3Differenceru1e fXgX f X39g X 4Productru1e fXgX f XgX fXg X i f39XgXfXg39X 5 Quotient rule dx gltX 7 ltgltX2 6Chainrule fgx f gXg X 7 Power rules Xp pXP 1 foraconstantp fXp pfXp lf Xforaconstantp 8eru1es efquot efquotf x b quot 1nbbf xf xforapositive constantb 9 Logarithmic rules 1nfX f XfX 10gbfX f X1nbfXforapositive constantb 10Trigrules sinfX cosfXf X cosfX sinfxf X tanfX f Xcosfx2 11 Inverse trig rules arcsin f X f X 1 fX 2 2 arctanfX f X1 fx2

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