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product rule
(f(x)g(x))′ = f′(x)g(x) + f(x)g′(x), where f and g are differentiable
quotient rule
chain rule
0
(sin x)′
cos x
(cos x)′
−sin x
(tan x)′
(cot x)′
(sec x)′
sec x tan x
(csc x)′
−csc x cot x
ax + C
− cos x + C
sec x + C
ln | sec x| + C
ln | sec x + tan x| + C
ln |x| + C
sin x + C
− cot x + C
cot x + C
− csc x + C
ln | sin x| + C
ln | csc x − cot x| + C
Note
Flashcard