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Derivative rules
Calculus I derivative rules
20 cards·by hrschempf
rulescalccalculuslawsderivativederivatives
d/dx [cu]
cu'
d/dx [u/v]
(u'v-uv')/v^2
d/dx [x]
1
d/dx [e^u]
e^(u)*u'
d/dx [u+v]
u'+v'
d/dx [u-v]
u'-v'
d/dx [uv]
u'v+uv'
d/dx [c]
0
d/dx [u^n]
nu^(n-1)*u'
d/dx [|u|]
u(u')/|u|, u =/= 0
d/dx [ln u]
u'/u
d/dx [loga u]
u'/((ln a) u)
d/dx [a^u]
(ln a)a^(u)*u'
d/dx [sin u]
(cos u)u'
d/dx [cos u]
(-sin u)u'
d/dx [tan u]
(sec u)^(2) * u'
d/dx [cot u]
-(csc u)^(2) * u'
d/dx [sec u]
(sec u * tan u)u'
d/dx [csc u]
-(cscu cot u)u'
d/dx f(g(u)
f'(g(u))*g'(u)