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Complete Derivatives

Basics in Calculus

QuestionAnswer
x 1
C 0
CU CU'
U^n nU^(n-1)U'
f(g(x)) f'(g(x))g'(x)
U+V U'+V'
UV U'V+UV'
U/V U'V-UV'/V^2
|U| (U/|U|)U'
e^u e^u u'
a^u lna a^u u'
lnu (1/u) u'
logaU (1/lna)(1/U)U'
sinx cosx x'
cosx -sinx x'
tanx sec^2x x'
cscx -cscxcotx x'
secx secxtanx x'
cotx -csc^2x x'
arcsinx (x')/squareroot[1-x^2]
arccosx (-x')/squareroot[1-x^2]
arctanx x'/(1+x^2)
arccscx (-x')/|x|squareroot[1-x^2]
arcsecx (x')/|x|squareroot[1-x^2]
arccotx -x'/(1+x^2)
Created by: ryski09
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